Question

the circumference of a circle is 12\pi inches. what is the radius? give the exact answer in simplest form.

Explanation:

Step1: Recall the circumference formula

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

We are given that $C=12\pi$. Substituting into the formula $12\pi=2\pi r$.

Step3: Solve for $r$

Divide both sides of the equation $12\pi = 2\pi r$ by $2\pi$. We get $r=\frac{12\pi}{2\pi}=6$.

Answer:

6