Question

In the given figure, find the area of the shaded region, if ABCD is a square of side 14 cm and APD and BPC are semicircles.

Answer 1

Area of the shaded region = Area of Square ABCD − (Area of semicircle APD + Area of semicircle BPC)

`=(14)^2 = [1/2 pi(14/2)^2 + 1/2pi(14/2)^2]`

`=(14)^2 - 22/7(7)^2`

= 42 cm² 

Hence, the area of the shaded region is 42 cm².