The circumference of a circle is 15π centimeters. What is the area of the circle in terms of π?

A. 7.5π cm²

B. 15π cm²

C. 56.25π cm²

D. 225π cm²

C. 56.25π cm²

Step-by-step explanation:

The circumference of a circle is given by

C = 2 * pi * r

15 pi = 2 * pi * r

Divide each side by pi

15 = 2r

Divide by 2

15/2 = 2r/2

7.5 = r

We want to find the area

A = pi r^2

A = pi (7.5) ^2

A = pi * 56.25

A = 56.25 pi