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
B) 17
C) 16
D) 15
E) 8

Question

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 
B) 17 
C) 16 
D) 15 
E) 8

Quizplus · Accepted Answer

Let r be the radius of the circle. The area of the circle is equal to πr^2, and the circumference of the circle is equal to 2πr. We know that:

πr^2 = 8(2πr)

Dividing both sides by πr, we get:

r = 16

Therefore, the length of the radius is 16, and the correct answer is choice C.

The Area of a Circle Is Numerically Equal to 8