Question

the circumference of a circle is 8π inches. what is the radius? give the exact answer in simplest form. blank inches

Explanation:

Step1: Recall circumference formula

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

Step2: Substitute given circumference

Substitute $C = 8\pi$ into the formula:
$8\pi = 2\pi r$

Step3: Solve for $r$

Divide both sides by $2\pi$:
$\frac{8\pi}{2\pi} = r$
Simplify the expression:
$4 = r$

Answer:

4 inches