Question

the circumference of a circle is 12π kilometers. what is the radius?
c=12π km
give the exact answer in simplest form.
kilometers

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 $C = 12\pi$ into the formula:
$12\pi = 2\pi r$

Step3: Solve for $r$

Divide both sides by $2\pi$:
$\frac{12\pi}{2\pi} = r$
Simplify the left-hand side: $6 = r$

Answer:

6 kilometers