Find the area of a circle given C=4pi. Give your answer in terms of pi.
To find the area of a circle given the circumference C=4π, we use the formula for circumference of a circle:
C = 2πr
where r is the radius of the circle.
Given C = 4π, we can solve for r:
4π = 2πr
r = 2
Now that we have the radius, we can find the area of the circle using the formula for area:
A = πr^2
A = π(2)^2
A = 4π
Therefore, the area of the circle is 4π square units.