The circumference of a circle is 20π m. What is the area, in square meters? Express your answer in terms of piπ.

Answer 1

The formula for the circumference of a circle is given by 2πr, where r is the radius of the circle.

Given that the circumference is 20π, we have:

2πr = 20π
r = 10

Now, we can find the area of the circle using the formula A = πr^2:

A = π(10)^2
A = π(100)
A = 100π

Therefore, the area of the circle is 100π square meters.