Find the area of a circle given C=4π. Give your answer In terms of π
We can use the formula for the circumference of a circle, which is C = 2πr, where r is the radius of the circle. Since we are given that C = 4π, we can solve for the radius by dividing both sides by 2π:
C = 2πr
4π = 2πr
r = 2
Now that we know the radius is 2, we can use the formula for the area of a circle, which is A = πr^2:
A = π(2)^2
A = 4π
Therefore, the area of the circle is 4π.