Page 67 - WCS - Electrical

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