A ring has a inner circumference of 10 centimeters.What is the radius of the ring? Round your answer to four decimal places.
A)0.7958 centimeter
B)3.1831 centimeters
C)1.5915 centimeters
D)1.7841 centimeters
E)10.1321 centimeters

Question

Quizplus · Accepted Answer

The formula for the inner circumference of a ring is $2\pi r$, where $r$ is the radius of the ring. Solving for $r$, we get $r=\frac{C}{2\pi}=\frac{10}{2\pi}\approx1.5915$. Rounded to four decimal places, the answer is $\boxed{	extbf{(C) }1.5915	ext{ centimeters}}$. The equation for the circumference of a circle is C=2πr, where r is the radius. 
Since the inner circumference of the ring is given as 10 centimeters, we can set up an equation:

10 = 2πr

Solving for r:

r = 10/(2π)

r ≈ 1.5915

Therefore, the radius of the ring is approximately 1.5915 centimeters. The best choice is C.

A Ring Has a Inner Circumference of 10 Centimeters