Solve for r LA=2pirh

$L A = 2 π r h$

Rewrite the equation as $2 π r h = L A$ .

$2 π r h = L A$

Divide each term in $2 π r h = L A$ by $2 π h$ and simplify.

Divide each term in $2 π r h = L A$ by $2 π h$ .

$\frac{2 π r h}{2 π h} = \frac{L A}{2 π h}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 π r h}{2 π h} = \frac{L A}{2 π h}$

Rewrite the expression.

$\frac{π r h}{π h} = \frac{L A}{2 π h}$

Cancel the common factor of $π$ .

Cancel the common factor.

$\frac{π r h}{π h} = \frac{L A}{2 π h}$

Rewrite the expression.

$\frac{r h}{h} = \frac{L A}{2 π h}$

Cancel the common factor of $h$ .

Cancel the common factor.

$\frac{r h}{h} = \frac{L A}{2 π h}$

Divide $r$ by $1$ .

$r = \frac{L A}{2 π h}$