Question

The circumference of a circle is 25π m. What is the area, in square meters? Express your answer in terms of \piπ.

Answer 1

Area = 156.25π meters

Explanation:

In order to identify the area of the circle, you would need the radius. In order to find the radius, you would plug in the circumference (25π) into the equation for the circumference of a circle, like this:

C = 2πr

25π = 2πr

You would then solve the equation for r (the radius)

25π = 2πr

12.5π = πr

12.5 = r

Then you would plug the radius into the equation for the area of a circle.

A = π(r^2)

A = 12.5^2π

A = 156.25π

So your answer would then be 156.25π meters, since that was the unit of measurement

Answer 2

Answer: 156.25π m. Hope this helps.