Question

Find the area of the shaded region in the given figure, if ABCD is a square of side 14 cm and APD and BPC are semicircles.[Use π = 22/7]

Answer 1

It can be observed from the figure that the radius of each semi-circle is 7 cm.

Area of each semi-circle = 1/2 πr² 

                      = 1/2 x 22/7 x 7 x 7

                      =77cm²

Area of square ABCD = (Side)² = (14)² = 196 cm² 

Area of the shaded region

= Area of square ABCD − Area of semi-circle APD − Area of semi-circle BPC

= 196 − 77 − 77 = 196 − 154              

= 42 cm²