Question

In the following figure, three circles are given. The two smaller circles are equal. The radius of the larger circle is 8 cm. O is the centre of the larger circle.

Find the area of shaded portion.

• A. $16\pi$
• B. $20\pi$
• C. $4\pi$
• D. $8\pi$

Answer 1

The correct option is A $16\pi$

Sum of areas of two smaller circles $2\times \pi \times 4^2=32\pi$.
Area of larger circle $=\pi \times 8^2=64\pi$
Area of shaded portion $=\frac{64\pi -32\pi }{2}=\frac{32\pi }{2}=16\pi$