# What is the radius of a circle with a circumference of 28 pi?

May 9, 2018

The radius is $14$ units.

#### Explanation:

Start by finding the diameter; the formula for circumference is $\pi d$, so set up an equality:

$28 \pi$=$c$
$28 \pi$=$\pi d$

Divide both sides by $\pi$:

$\frac{28 \pi}{\pi} = \frac{\pi d}{\pi}$

$\frac{28 \textcolor{red}{\cancel{\pi}}}{\textcolor{red}{\cancel{\pi}}}$=$\frac{\textcolor{red}{\cancel{\pi}} d}{\textcolor{red}{\cancel{\pi}}}$

$28 = d$

$\frac{d}{2} = r = \frac{28}{2} = \textcolor{red}{14}$
Therefore, your radius is $14$ units.