Question

The circumference of a circle is 65π. In terms of pi, what is the area of the circle?

A) 600 π
B) 936.5 π
C) 950.25 π
Eliminate
D) 1056.25 π

Answer 1

The formula for circumference of a circle is C = 2πr where C is the circumference and r is the radius. The formula for area is A = πr^2 where A is the area and r is the radius. Thus, we need to find r to find the correct area:

C = 2πr

65π = 2πr

r = 32.5

Now we plug this result into the area formula:

A = π(32.5)^2

A = 1056.25π

So, the answer is D.