Solve r=sigma/2pi

$$r = \frac { \sigma } { 2 \pi }$$

Solve for σ

$$\sigma =2\pi r$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$\frac{\sigma }{2\pi }=r$$

The equation is in standard form.

$$\frac{1}{2\pi }\sigma =r$$

Divide both sides by \frac{1}{2}\pi ^{-1}.

$$\frac{\frac{1}{2\pi }\sigma \times 2\pi }{1}=\frac{r\times 2\pi }{1}$$

Dividing by \frac{1}{2}\pi ^{-1} undoes the multiplication by \frac{1}{2}\pi ^{-1}.

$$\sigma =\frac{r\times 2\pi }{1}$$

Divide r by \frac{1}{2}\pi ^{-1}.

$$\sigma =2\pi r$$

Solve for r

$$r=\frac{\sigma }{2\pi }$$