Find the area of the shaded region in Fig. 12.21, if ABCD is a square of side 14 cm and APD and BPC are semicircles.
It can be observed from the figure that the radius of each semi-circle is 7 cm
Area of each semi-circle =
r2
= 
* 
* (7)2
= 77 cm2
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
7