Question

If the area of a circle measures 4π cm2, what is the circumference of the circle in terms of π?

Answer 1

To find the circumference we must work backwards from the area to find the radius of the circle.

Area = pi x radius squared
4 x pi = pi x radius squared
4 = radius squared
2 = radius

Now that we have the radius, we can plug it into our formula for circumference.

Circumference = pi x diameter (or 2 x radius)
Circumference = pi x 4
Circumference = 4
`\pi`