# Question #b5f55

Jan 4, 2017

Assuming you mean $c = 2 \pi r$ then solving for $r$ gives $r = \frac{c}{2 \pi}$

See full explanation below.

#### Explanation:

Given $c = 2 \pi r$ we can solve for $r$ by dividing each side of the equation by $\textcolor{red}{2 \pi}$

$\frac{c}{\textcolor{red}{2 \pi}} = \frac{2 \pi r}{\textcolor{red}{2 \pi}}$

$\frac{c}{\textcolor{red}{2 \pi}} = \frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{2 \pi}}} r}{\cancel{\textcolor{red}{2 \pi}}}$

$\frac{c}{\textcolor{red}{2 \pi}} = r$

$r = \frac{c}{\textcolor{red}{2 \pi}}$