Find the area of a circle given C=4π
. Give your answer in terms of π
.
The formula for the circumference of a circle is C=2πr, where r is the radius of the circle. Given that C=4π, we can set this equal to 2πr and solve for 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 = 4π
Therefore, the area of the circle is 4π.