Find the area of a circle given C=4π . Give your answer in terms of π.
box π
To find the area of a circle, we can use the formula A = πr^2, where A is the area and r is the radius.
Given that the circumference C = 4π, we can use the formula for the circumference of a circle: C = 2πr.
Therefore, 4π = 2πr
Dividing both sides by 2π, we get:
r = 2
Now, we can plug the radius back into the area formula:
A = π(2)^2
A = π(4)
A = 4π
So, the area of the circle is 4π.