Question

The circumference of a circle is 15π cm. What is the area, in square centimeters? Express your answer in terms of

π
π.

Answer 1

56.25π

Explanation:

To calculate the area of the circle in terms of pie (π) is: C. 56.25π cm².

Given the following data:

Circumference of a circle = 15π centimeters.

To calculate the area of the circle in terms of π:

First of all, we would determine the diameter of this circle.

How to calculate the circumference of a circle.

Mathematically, the circumference of a circle is given by the formula:

Where:

D is the diameter of a circle.

Substituting the given parameters into the formula, we have;

D = 15 centimeters.
so r=7.5
A=πr²
a=π7.5²
a=π x 56.25

So A = 56.25πcm²