The circumference of a circle is 13π in. What is the area, in square inches? Express your answer in terms of piπ.

1 answer

The circumference of a circle is given by the formula C = 2πr, where r is the radius of the circle. In this case, we know that the circumference is 13π, so we can set up the equation:

13π = 2πr

Solving for r, we find:
r = 13/2

The area of a circle is given by the formula A = πr^2. Substituting in the value of r we found earlier:

A = π(13/2)^2
A = π(169/4)
A = 169π/4

Therefore, the area of the circle is 169π/4 square inches.