The area of a circle is numerically equal to 8 times the circumference of the circle. Find the length of a radius of the circle.
A)16 $\pi$
B)17
C)16
D)15 $\pi$
E)8 $\pi$

Question

Quizplus · Accepted Answer

Let the radius of the circle be $r$. The area of the circle is $\pi r^2$, and the circumference is $2\pi r$. We are given that $\pi r^2 = 8(2\pi r)$. Dividing both sides by $2\pi r$ gives $r = \boxed{	extbf{(C)}\ 16}$.

The Area of a Circle Is Numerically Equal to 8 π\piπ

The Area of a Circle Is Numerically Equal to 8 $\pi$