Find the area of a circle given C = 4. Give your answer in terms of r.

Answer 1

To find the area of a circle given the circumference, we can use the formula for the circumference of a circle:

C = 2πr

We are given that C = 4, so we can substitute that value in:

4 = 2πr

Now, we solve for r:

4 = 2πr
2 = πr
r = 2/π

Now that we have the radius, we can find the area of the circle using the formula for the area of a circle:

A = πr^2
A = π(2/π)^2
A = π(4/π^2)
A = 4/π

Therefore, the area of the circle in terms of the radius is A = 4/π.