Question

In Fig. two circles with centres A and B touch each other at the point C. If AC = 8 cm and AB = 3 cm, find the area of the shaded region.

Answer 1

AC = 8 cm
AB = 3 cm
So,
BC = AC - AB = 8 - 3 = 5 cm

So,
Radius of big circle , AC = 8 cm

Area of big circle $=\pi r^2=\frac{22}{7}\times 8^2=\frac{1408}{7}=201.14c{m}^2$

And
Radius of small circle BC = 5 cm

Area of small circle $=\pi r^2=\frac{22}{7}\times 5^2=\frac{550}{7}=78.57c{m}^2$

SO,

Shaded area = Area of big circle - Area of small circle = 201.14 - 78.57 = 122.57 $c{m}^2$