Question

In the given figure, ABCD is a square of side 7 cm, DPBA and DQBC are quadrants of circles each of the radius 7 cm. Find the area of shaded region.

Answer 1

Area of the shaded portion = (Area of quadrant DPBA + Area of quadrant DQBC) − Area of Square ABCD

`=[1/4pi(7)^2 + 1/4pi(7)^2] - (7)^2`

`=1/2xx22/7(7)^2 - 49`

= 28 cm² 

Hence, the area of the shaded portion is 28 cm².