Page 67 - WCS - Electrical
P. 67

WORKSHOP CALCULATION & SCIENCE - CITS
                                              Workshop Calculation & Science - Electrician & Wireman                            Exercise 1.7.26
            Mensuration - Area and perimeter of circle, semi-circle,                                                            Exercise 1.7.26
                                               Workshop Calculation & Science - Electrician & Wireman
                                              Mensuration - Area and perimeter of circle, semi-circle, circular ring, sector
                                        Workshop Calculation & Science - Electrician & Wireman
            circular ring, sector of circle, hexagon and ellipse                                                         Exercise 1.7.26
                                                                                                                          Exercise 1.7.26
                                         Workshop Calculation & Science - Electrician & Wireman
                                              of circle, hexagon and ellipse
                                               Mensuration - Area and perimeter of circle, semi-circle, circular ring, sector
                                        Mensuration - Area and perimeter of circle, semi-circle, circular ring, sector
                                               of circle, hexagon and ellipse
                                         Mensuration - Area and perimeter of circle, semi-circle, circular ring, sector
                                              Circle
           Circle                       of circle, hexagon and ellipse                                            r      =  196

                                         of circle, hexagon and ellipse
                                               Circle
                                              It is the path of a point which is always equal from its
           It is the path of a point which is always equal from its centre is called a circle.

                                        Circlecentre is called a circle.                                           r     = 14 m
                                                                                                                          =  196
                                         Circle It is the path of a point which is always equal from its    r      =  196

                                                             r = radius of the circle
                                        It is the path of a point which is always equal from its         Circumference    = 2πr unit
                                                                                                            r
                                                                                                                          = 14 m
                                               centre is called a circle.
                                                                                                                   =  196
                                         It is the path of a point which is always equal from its
                                        centre is called a circle. d = diameter of the circle                      = 14 m
                                                                                                                   = 14 m
                                         centre is called a circle. r = radius of the circle              Circumference   = 2πr unit
                                                                                                                               22
                                                       r = radius of the circle                    Circumference   = 2πr unit
                                                                  22
                                                                                                                         = 2 x
                                                              d = diameter of the circle
                                                       r = radius of the circle                    Circumference   = 2πr unit      x 14
                                                                    = 3.14
                                                             π =
                                                       d = diameter of the circle                                               7  22
                                                                  7
                                                                  22
                                                                                                                         22 = 2 x
                                                       d = diameter of the circle
                                                  Workshop Calculation & Science - Electrician & Wireman                            x 14
                                                                                                                                   Exercise 1.7.26
                                                           22 π =
                                                                                                                         = 88 m 7
                                                                     = 3.14
                                                                                                                         22
                                                                                                                             x 14
                                                                                                                   = 2 x
                                              Area of the circle = πr 7                             3 Find the side of square into which it can be bent if a
                                                                  2
                                                            22
                                                                                                                         7  x 14
                                                                                                                   = 2 x
                                                              = 3.14
                                                       π =
                                                  Mensuration - Area and perimeter of circle, semi-circle, circular ring, sector
                                                       π =
                                                           7 = 3.14
                                                                                                                          7
                                                                                                                          = 88 m
                                                            7
                                               Area of the circle = πr 2                               wire is in the form of a circle of radius 49 cm.
                                                                                                                   = 88 m
                                                  of circle, hexagon and ellipse
                                        Area of the circle = πr 2                                   3 Find the side of square into which it can be bent if a
                                                                                                                   = 88 m
                                         Area of the circle = πr 2                            3 Find the side of square into which it can be bent if a
                                                                                                         radius of circle r
                                                                                                                         = 49 cm
                                                                                                       wire is in the form of a circle of radius 49 cm.
                                                                                                wire is in the form of a circle of radius 49 cm.
                                                  Circle                                      3 Find the side of square into which it can be bent if a
                                                                                                         side of square
                                                                                                                         = ?
                                                                                                                          = 49 cm
                                                                                                          radius of circle r
                                                                                                 wire is in the form of a circle of radius 49 cm.

                                                                                                                     r
                                                  It is the path of a point which is always equal from its  radius of circle r  = 49 cm = ? =  196
                                                                                                       Perimeter of the square = Perimeter of the circle
                                                                                                          side of square
                                                                                                                   = 49 cm
                                                                                                   radius of circle r
                                                  centre is called a circle.                       side of square  = 2πr     = 14 m
                                                                                                                   = ?
                                                                                                           4a
                                                                                                       Perimeter of the square = Perimeter of the circle
                                                                                                   side of square
                                                                                                                   = ?
                                                                r = radius of the circle        Perimeter of the square = Perimeter of the circle
                                                                                                                             = 2πr unit
                                                                                                             Circumference
                                                                                                            4a
                                                                                                                   = 2πr
                                                                                                                        22
                                                                                                     4a
                                                               π d = diameter of the circle      Perimeter of the square = Perimeter of the circle
                                                                                                                            x 49
                                                                                                            = 2πr = 2 x
                                                                                                           4a
                                                                                                                                   22
                                                      (or)    =     d unit 2                         4a     = 2πr       7  22 = 2 x
                                                                   2
                                                                     22
                                                               4 π π =   = 3.14                             4a    22        x 49   7   x 14
                                                                                                                   = 2 x

                                                                     7
                                                      (or)
                                                         π
                                                                                                            = 2 x  = 308 7
                                                               =
                                                                  d unit
                                                                   2
                                                                       2
                                              Circumference of the circle 2πr (or) πd unit           4a    4a     22  x 49
                                                                2 4
                                                             π
                                               (or)     =   d unit                                   4a     = 2 x   7  x 49  = 88 m
                                                            2
                                                  Area of the circle = πr
                                                (or)
                                                                                                                  7
                                                                                                                   = 308
                                                                                                            4a
                                                             2
                                              Examples  =  4   d unit 2  2                             3 Find the side of square into which it can be bent if a
                                                                                                                     308
                                               Circumference of the circle 2πr (or) πd unit
                                                         4
                                                                                                            = 308
                                                                                                            a
                                                                                                                  =
                                        Circumference of the circle 2πr (or) πd unit                 4a   wire is in the form of a circle of radius 49 cm.
                                                                                                            = 308
                                                                                                     4a
                                              1 Find the area of a circle whose radius is 1.54 m.  Also
                                               Examples
                                         Circumference of the circle 2πr (or) πd unit
                                                                                                                      4  308
                                                                                                               308 =
           Examples                     Examples find its circumference.                                     a radius of circle r  = 49 cm
                                               1 Find the area of a circle whose radius is 1.54 m.  Also
                                                                                                                  = 77 cm
                                                                                                                      4
                                         Examples
                                                                                                               308
                                                    radius r
                                                                    = 1.54 cm
                                        1 Find the area of a circle whose radius is 1.54 m.  Also     a     =   4
                                                  find its circumference.
                                                                                                            =
                                                                                                      a
                                                                                                                             = ?
                                                                                                             side of square
           1  Find the area of a circle whose radius is 1.54 m.  Also find its circumference.       4 Find its radius if the difference between the
                                         1 Find the area of a circle whose radius is 1.54 m.  Also
                                                                                                                   = 77 cm
                                                                                                                4
                                           find its circumference.
                                                    Area A
                                                                     = 1.54 cm
                                                     radius r
                                           find its circumference.  = ?                                   Perimeter of the square = Perimeter of the circle
                                                                                                            = 77 cm
                                                                                                       circumference and diameter of a circle is 28 cm.
                                              radius r        = 1.54 cm                             4 Find its radius if the difference between the
                                                                                                            = 77 cm
                                                                    = ?
                                                 Circumference C
                                                                     = ?
                                              radius r Area A  = 1.54 cm                                      4a     = 2πr
                                                                                                         Circumference - Diameter = 28 cm
                                                                                                       circumference and diameter of a circle is 28 cm.
                                              Area A          = ?       2   2                 4 Find its radius if the difference between the
                                                  Circumference C
                                                                     = ?
                                              Area A         A = ?  = πr  unit                4 Find its radius if the difference between the
                                                                                                circumference and diameter of a circle is 28 cm.
                                                                                                                         2πr - d = 28
                                                                                                          Circumference - Diameter = 28 cm
                                           Circumference C    = ?                                circumference and diameter of a
                                                                                                                           22circle is 28 cm.
                                           Circumference C    A = ?  π =   22 2  x 1.54 x 1.54     Circumference - Diameter = 28 cm
                                                                     = πr  unit
                                                                                                                               x 49
                                                                                                                     = 2 x
                                                                             2
                                                                                                              4a
                                                                 2
                                                                                                                         2πr - 2r = 28
                                                                                                                          2πr - d = 28
                                                                                                                            7
                                                       A (or)  = πr  unit d unit 2                 Circumference - Diameter = 28 cm
                                                                 =
                                                                      2 2
                                                                       7
                                                                   4
                                                       A      = πr  unit 2  22                                     2πr - d = 28
                                                                  2
                                                                     =
                                                                           x 1.54 x 1.54
                                                                                                                   2πr - d
                                                                                                                          2πr - 2r = 28
                                                                 22  = 7.4536 m 2                             4a             2r (π - 1)= 28
                                                                                                                     = 308 = 28
                                                                        7
                                                  Circumference of the circle 2πr (or) πd unit                     2πr - 2r = 28
                                                                 22
                                                              =
                                                                    x 1.54 x 1.54
                                                              =
                                                                 7  x 1.54 x 1.54
                                                                                                                              2r (π - 1)= 28
                                                                                                                   2πr - 2r = 28
                                                                    = 2πr unit
                                                                     = 7.4536 m
                                                                 7
                                                                                                                          22
                                                  Examples   C = 7.4536 m 2    2                                       2r (π - 1)= 28  Exercise 1.7.26
                                                   Workshop Calculation & Science - Electrician & Wireman
                                                                                                                        308
                                                                                                                              - 1) = 28
                                                                                                                         2r (
                                                                                                                     =
                                                                                                               a
                                                                          22
                                                                     = 2πr unit
                                                              C = 7.4536 m
                                                                        2
                                                  1 Find the area of a circle whose radius is 1.54 m.  Also             2r (π - 1)= 28
                                                                                                                          7  22
                                                                                                                         4
                                                                              x 1.54
                                                                    = 2 x
                                                   Mensuration - Area and perimeter of circle, semi-circle, circular ring, sector
                                                              = 2πr unit
                                                       C
                                                                                                                              - 1) = 28
                                                                                                                          2r (
                                                     find its circumference.
                                                                                                                    22
                                                                          7  22
                                                              = 2πr unit
                                                       C
                                                                                                                    22
                                                                                                                     = 77 cm
                                                                                                                       - 1) = 28 7-22
                                                   of circle, hexagon and ellipse                                  2r (        2r (    7  ) = 28
                                                                              x 1.54
                                                                     = 2 x
                                                                    22 = 9.68 m
                                                                       = 1.54 cm
                                                                                                                   2r (
                                                                                                                    7  - 1) = 28
                                                       radius r
                                                                           7
                                                                    22
                                                              = 2 x
                                                                       x 1.54
                                                                                                                    7
                                                                                                                           7
                                                                                                                           22
                                                                                                                              7
                                                                    7  x 1.54
                                                              = 2 x
                                                                                                                             -
                                              2 Find out the circumference if the area of a circular shape  4 Find its radius if the difference between the
                                                                     = 9.68 m
                                                       Area A
                                                                       = ?
                                                                                                                               ) = 28
                                                                                                                          2r (
                                                   Circle
                                                                                                                    22
                                                                                                                      -
                                                                                                                       7
                                                 of land is 616 m .  7                                    circumference and diameter of a circle is 28 cm.
                                                               2
                                                              = 9.68 m
                                                                                                                            7

                                               2 Find out the circumference if the area of a circular shape         2r (  22 - r 7 ) = 28 =  196
                                                                       = ?
                                                     Circumference C
                                                              = 9.68 m
                                                                                                                           15
                                                   It is the path of a point which is always equal from its
                                                                    = πr  unit
                                                                  A

                                                                        2
                                                                            2
                                                                                                                         2r x
                                                                                                             Circumference - Diameter = 28 cm
                                                  of land is 616 m .
                                        2 Find out the circumference if the area of a circular shape               2r (  7 7  ) = 28  = 28
                                                                2
                                                         2s called a circle.
                                         2 Find out the circumference if the area of a circular shape
                                                                       = πr  unit
                                                   centre i
                                                                A
                                                                                                                           7  15 = 14 m
                                                                           2
                                                                               2
                                           of land is 616 m .
           2  Find out the circumference if the area of a circular shape of land is 616 m².                               2r x  2πr - d = 28
                                                                   A
                                                                     = πr  unit
                                                                       616 2

                                                                             2
                                                                                                                                 = 28
                                           of land is 616 m .
                                                                                                                     15
                                                         2
                                                                  2 =

                                                                2
                                                                          22
                                                            A     r   r = radius of the circle                     2r x   15  = 28
                                                              = πr  unit
                                                                                                              Circumference
                                                                                                                            7 = 2πr unit
                                                                      2
                                                                       π
                                                                       =
                                                            A  = πr  unit 2  616  x 1.54 x 1.54                    2r x   7  = 28   28x7
                                                                  2
                                                                                                                             2πr - 2r = 28

                                                                          7
                                                                 616 =
                                                                 2
                                                                    r d = diameter of the circle                     7       r   =
                                                                        π
                                                                                                                                    22
                                                                                                                                   15x2
                                                                                                                                    28x7
                                                             r 2  =   616   616x7  2                                            2r (π - 1)= 28
                                                                                                                              = 2 x
                                                             r 2  =   π =   22 = 7.4536 m                                     r  28x7 =   7   x 14
                                                                        22 = 3.14
                                                                 π π =
                                                                                                                                    15x2
                                                                        616x7
                                                                C
                                                                                                                             22
                                                                 616x7 =  7 = 2πr unit                                 r  =   28x7 = 6.53 cm
                                                                                                                       r
                                                                                                                           =
                                                                                                                             15x2
                                                                    = 196
                                                                                                                              = 88 m
                                                                         22
                                                                                                                                 - 1) = 28
                                                                 616x7
                                                              =
                                                   Area of the circle = πr 2   22                                           2r ( 15x2 = 6.53 cm
                                                                                                                             7
                                                                  22
                                                              =
                                                                       = 2 x
                                                                                                                          = 6.53 cm
                                               64          54     22  = 196  7   x 1.54                 3 Find the side of square into which it can be bent if a
                                                                                                                           = 6.53 cm
                                                                                                                               -
                                                                                                                                7
                                                                                                                             22
                                                64            = 196    = 9.68 m                            wire is in the form of a circle of radius 49 cm.
                                                              = 196
                                                                                                                                  ) = 28
                                                                                                                            2r (
                                         64  CITS : WCS - Electrical - Exercise 5                             radius of circle r  = 49 cm
                                                                                                                               7
                                         64       2 Find out the circumference if the area of a circular shape
                                                     of land is 616 m .                                       side of square  = ?
                                                                  2
                                                                                                                              15
                                                                     A  = πr  unit 2                       Perimeter of the square = Perimeter of the circle

                                                                           2
                                                                                                                            2r x
                                                                                                                                    = 28
                                                                          616                                   4a     = 2πr  7
                                                                      r 2  =
                                                                           π                                                           28x7
                                                                                                                             22
                                                                    π     616x7                                 4a     = 2 x       r  x 49 =  15x2
                                                          (or)     =     d unit 2                                            7
                                                                       2
                                                                       =
                                                                    4      22                                                       = 6.53 cm
                                                   Circumference of the circle 2πr (or) πd unit                 4a     = 308
                                                                       = 196
                                                   Examples
                                                  64                                                                      308
                                                   1 Find the area of a circle whose radius is 1.54 m.  Also     a     =   4
                                                      find its circumference.
                                                                                                                       = 77 cm
                                                         radius r        = 1.54 cm
                                                         Area A          = ?                            4 Find its radius if the difference between the
                                                                                                           circumference and diameter of a circle is 28 cm.
                                                      Circumference C    = ?
                                                                                                              Circumference - Diameter = 28 cm
                                                                  A      = πr  unit 2
                                                                            2
                                                                                                                              2πr - d = 28
                                                                           22
                                                                         =     x 1.54 x 1.54                                  2πr - 2r = 28
                                                                            7
                                                                         = 7.4536 m 2                                             2r (π - 1)= 28
                                                                  C      = 2πr unit                                            22
                                                                               22                                             2r (   - 1) = 28
                                                                         = 2 x    x 1.54                                       7
                                                                               7
                                                                         = 9.68 m                                              22 - 7
                                                                                                                              2r (  ) = 28
                                                   2 Find out the circumference if the area of a circular shape                 7
                                                      of land is 616 m .
                                                                    2
                                                                                                                                15
                                                                       A  = πr  unit 2                                        2r x   = 28
                                                                             2

                                                                            616                                                 7
                                                                        r 2  =
                                                                            π                                                           28x7
                                                                                                                                  r  =
                                                                            616x7                                                      15x2
                                                                         =
                                                                             22                                                      = 6.53 cm
                                                                         = 196
                                                    64
   62   63   64   65   66   67   68   69   70   71   72