Question

In Figure ABCD, find the area of the shaded region.
8cm
TL
2
2
20 cm
22222
10 cm
F
10 cm
VII CLASS MATHEMATICS​

Answer 1

Answer:

Length of rectangle = 8 cm

Breadth of rectangle = 6 cm

Area of rectangle = length × breadth

= 8 × 6 = 48 cm2

ConsiderABC,

By Pythagoras theorem,

AC2 = AB2 + BC2

= 82 + 62 = 64 + 36 = 100

AC = √100 = 10 cm

⇒ Diameter of circle = 10 cm

Thus, radius of circle == 5 cm

Let the radius of circle be r = 5 cm

Then, Area of circle = πr2

=× 5 × 5 === 78.57 cm2

Area of shaded region = Area of circle – Area of rectangle

= 78.57 - 48

= 30.57 cm2