Question

10. Find the area of the shaded region in each of the following figures.
(a) In the figure, ABCD is a rectangle and APQD
is a square.
Р В
А
8 cm
D
с
Q
-- 12 cm​

Answer 1

Answer:

Given sides of rectangle is l=8 cm,b=6 cm

From the figure

Diameter of circle is equal to Diagonal of rectangle

⟹radius=

2

1

6

2

+8

2

=5 cm

Area of circle is πr

2

=π(5)

2

=25π=78.5cm

2

Area of rectangle is l×b=6×8=48 cm

2

Area of shaded portion = Area of Circle − Area of Rectangle

=78.5−48=30.5 cm

2