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.

Answer 1

Each side of square ABCD = 14 cm.

APD, APC are semicircles.

Area of the shaded region = ?

(i) Total area of square

= ( Side)2

= (14)2

= 196 sq.cm.

(ii) Each radius, r of semicircle r = =7cm

Area of two semicircles :

∴ Area of shaded region:

= Area of square – Area of two semicircles

= 196 – 154

= 42 sq. cm