Find the area of a circle given C=4pi. Give your answer in terms of pi
We know that C = 2πr, where C is the circumference and r is the radius of the circle. We have been given C=4π, so we can write:
4π = 2πr
Dividing both sides by 2π, we get:
r = 2
Now we can use the formula for the area of a circle:
A = πr^2
Substituting r = 2, we get:
A = π(2^2) = 4π
Therefore, the area of the circle is 4π square units.