Question

if the circumference of a circle is 50 meters, what is the radius?
a. \frac{100}{\pi} meters
b. 25 meters
c. \frac{50}{2\pi} meters
d. 10 meters

Explanation:

Step1: Recall the formula for circumference

The formula for the circumference of a circle is \(C = 2\pi r\), where \(C\) is the circumference and \(r\) is the radius.

Step2: Solve for \(r\)

Given \(C = 50\) meters. Substitute into the formula: \(50=2\pi r\). Then \(r=\frac{50}{2\pi}=\frac{25}{\pi}\) meters.

Answer:

c. \(\frac{25}{\pi}\) meters