What is the area of the shaded region?

The radius of the outer circle shown above is 1.2 times greater than the radius of the inner circle.

What is the area of the shaded region?
A . 6π m2
B . 9π m2
C . 25π m2
D . 30π m2
E . 36π m2

View Answer

Answer: B

Explanation:

The area of a circle is equal to πr2. The radius of the inner circle is 5 m; therefore, the area of the inner circle is 25π m2. The radius of the outer circle is 1. 2 × 5 = 6 m; therefore, the area of the outer circle is 36π. Subtract the area of the inner circle from the area of the outer circle: 36π C 25π = 9π m2.