Help on this math question

Question

The circumference of a circle is 20π ft. What is the exact area?

show work to help thank you!!

Answer 1

The formula for the circumference of a circle is 2 * PI * radius

We are given that the circumference is 20 * PI feet.

Plugging that value into the above equation: 20 * PI feet = 2 * PI * radius, we can solve for the radius:

Divide both sides of the equation by 2 * PI: 10 feet = radius.

The formula for the area of a circle is PI * radius **2

We have computed the radius at 10 feet, so the area = PI * 10**2 = PI * 100 = 314.159 square feet (PI = 3.14159)