Question

the circumference of a circle is 10π inches. what is the radius?
c = 10π in
give the exact answer in simplest form.
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 circumference into the formula

Given \( C = 10\pi \), substitute into \( C = 2\pi r \):
\( 10\pi=2\pi r \)

Step3: Solve for \( r \)

Divide both sides of the equation by \( 2\pi \):
\( r=\frac{10\pi}{2\pi} \)
Simplify the right - hand side. The \( \pi \) terms cancel out: \( r = 5 \)

Answer:

\( 5 \)