Page 31 - CITS - WCS - Mechanical
P. 31

WORKSHOP CALCULATION - CITS


            Assignment

           Circle
           1  Find the circumference and area of a circle whose radius is 10.00 metre.
           2  Find its diameter if the area of a circle is 330 cm².
           3  Find its area if the circumference of a circle is 50 cm.
           4  Find out the area and circumference of a circle of diameter is 50 cm.
           5  Find its area if the circumference of a circle is 44 cm.
           Semi circle
           1  Calculate the circumference and area of semi circle whose radius is 14 cm.
           2  Find area of the given figure.

















           Circular ring
           1  Find out area of a ring washer, whose inner radius and outer radius are 13 cm and 15 cm respectively.

           2  Find the area of a ring portion of a washer whose outer dis is 30 m and inner dis is 20 m. Also calculate the
              difference between the circumference of circles.
           Sector of circle
           1  Find the perimeter and area of a sector of a circle of radius 5cm and its angle is 96°.

           2  Find the radius of the circle if the angle is 90° and the area of sector of a circle is 196 cm².
           Hexagon
           1  Find out the Area, perimeter, DAF, and DAC of hexagon of side 4cm.
           2  Find the area of cross section of a regular hexagon rod whose side is 7.5 cm.

           Ellipse
           1  Find the area of the biggest ellipse that can be inscribed in a rectangle of length 18 cm and breadth 12 cm. Also
              calculate its perimeter.

           2  How much fencing will be required to enclose an elliptical plot of ground the axes of the ellipse being 200 and
              170 meter respectively
           Cube

           1  Find the diagonal, lateral surface area,, total surface area and volume of a cube of side 4.5 cm.
                                         side a       = 4.5 cm
                                         diagonal d   =    a unit
                                                      = 1.732 x 4.5

                                                      = 7.794 cm
                                               L.S.A   = 4a²  unit²
                                                      = 4 x 4.5 x 4.5
                                                      = 81 cm²


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                                           CITS : WCS - Mechanical - Exercise 5
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