Question

the circumference of a circle is 3π in. find its radius, in inches.

Explanation:

Step1: Recall the formula for the circumference of a circle

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

Step2: Substitute the given circumference into the formula

Given \(C=3\pi\), we substitute into \(C = 2\pi r\): \(3\pi=2\pi r\).

Step3: Solve for \(r\)

Divide both sides of the equation \(3\pi = 2\pi r\) by \(2\pi\).

$$ r=\frac{3\pi}{2\pi} $$

Cancel out \(\pi\) (since \(\pi
eq0\)), we get \(r = \frac{3}{2}\).

Answer:

\(\frac{3}{2}\) inches