Find the area of a circle given C=4π. Give your answer in terms of π. (1 point)
To find the area of a circle when given the circumference, we can use the formula:
C = 2πr
where C is the circumference and r is the radius of the circle.
Given that C = 4π, we can plug this into the formula:
4π = 2πr
Dividing both sides by 2π, we get:
r = 2
Now that we have the radius, we can find the area of the circle using the formula:
A = πr²
Plugging in r = 2, we get:
A = π(2)²
A = π(4)
A = 4π
So, the area of the circle is 4π.