Question

the circumference of a circle is 16π inches. what is the radius? c = 16π in give the exact answer in simplest form. inches

Explanation:

Step1: Recall 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 given value

We know that $C=16\pi$, so $16\pi=2\pi r$.

Step3: Solve for radius

Divide both sides of the equation $16\pi = 2\pi r$ by $2\pi$. $\frac{16\pi}{2\pi}=r$. Simplifying the left - hand side gives $r = 8$.

Answer:

8