find the area of a cicle given c = 4 pi give your answer in terms of pi

To find the area of a circle we use the formula A = πr^2, where r is the radius of the circle.

Given that the circumference c = 4π, we can find the radius by using the formula for the circumference of a circle: c = 2πr.
4π = 2πr
r = 2

Now we can plug the radius back into the area formula:
A = π(2)^2
A = π(4)
A = 4π

Therefore, the area of the circle is 4π square units.