Question

the circumference of a circle is 20π in. find its radius, in inches.

Explanation:

Step1: Recall the formula for the circumference of a circle

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

Step2: Substitute the given circumference into the formula

Given \(C = 20\pi\), we substitute into \(C = 2\pi r\):
\(20\pi=2\pi r\)

Step3: Solve for \(r\)

Divide both sides of the equation \(20\pi = 2\pi r\) by \(2\pi\):
\(r=\frac{20\pi}{2\pi}\)
Simplify the right - hand side. Since \(\frac{20\pi}{2\pi}=\frac{20}{2}\times\frac{\pi}{\pi}\) and \(\frac{\pi}{\pi} = 1\) (for \(\pi
eq0\)), we get \(r = 10\)

Answer:

\(10\)