Question

PQRS is a rectangle in which PQ= 40 cm., QR=20 cm. A semicircle is drawn with centre O
and radius 20√2 cm. It passes through A and B as shown in the fig. Find the area of the
shaded segment

Answer 1

According to question

Length of rectangle L = 20 Cm

Breadth of rectangle B = 10 Cm

Thus Area of rectangle PQRS = L* B

= 20 * 10

= 200

Cm^2

Radius of semicircle r= 10 root 2 Cm

This Area of semicircle = 1/2 pi R^2 =

= 1/2 * 22/7 * 100 *

= 314

2

so Area of shaded region = 314 - 200

= 114 Cm^2