Question

the circumference of a circle is 14 pi cm. find its radius, in centimeters.

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 \(C=14\pi\) cm. Substitute into the formula: \(14\pi=2\pi r\). Divide both sides by \(2\pi\): \(r=\frac{14\pi}{2\pi}\).

Step3: Simplify the expression

Cancel out \(\pi\) terms: \(r = 7\) cm.

Answer:

\(7\)