Question

In the given figure, ABCD is a square of side 14 cm. Find the area of the shaded region. Take π = 2²/2)

​

Answer 1

Explanation:

Area of shaded region = Area of Square ABCD− Area of 4 quadrants of circle

Side of square =14cm

Area of Square =(side)

2=(14) 2=196cm 2Radius of circle = half of the side of square = 214=7cmArea of quadrant of circle = 41πr 2

Area of 4 quadrants of circle =4( 41 πr 2)= 722×7×7=154cm 2 Area of shaded region =196−154=42cm 2