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