Question

the circumference of a circle is 9π in. find its radius, in inches.

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: Substitute the given value of \(C\) into the formula

Given \(C=9\pi\), we have \(9\pi=2\pi r\).

Step3: Solve for \(r\)

Divide both sides of the equation \(9\pi = 2\pi r\) by \(2\pi\).

$$r=\frac{9\pi}{2\pi}$$

Cancel out \(\pi\) from the numerator and denominator: \(r = \frac{9}{2}=4.5\)

Answer:

\(4.5\)