Solve for s SA=pirs+pir^2

$S A = π r s + π r^{2}$

Step 1

Rewrite the equation as $π r s + π r^{2} = S A$ .

$π r s + π r^{2} = S A$

Step 2

Subtract $π r^{2}$ from both sides of the equation.

$π r s = S A - π r^{2}$

Step 3

Divide each term in $π r s = S A - π r^{2}$ by $π r$ and simplify.

Divide each term in $π r s = S A - π r^{2}$ by $π r$ .

$\frac{π r s}{π r} = \frac{S A}{π r} + \frac{- π r^{2}}{π r}$

Simplify the left side.

Cancel the common factor of $π$ .

Cancel the common factor.

$\frac{π r s}{π r} = \frac{S A}{π r} + \frac{- π r^{2}}{π r}$

Rewrite the expression.

$\frac{r s}{r} = \frac{S A}{π r} + \frac{- π r^{2}}{π r}$

Cancel the common factor of $r$ .

Cancel the common factor.

$\frac{r s}{r} = \frac{S A}{π r} + \frac{- π r^{2}}{π r}$

Divide $s$ by $1$ .

$s = \frac{S A}{π r} + \frac{- π r^{2}}{π r}$

Simplify the right side.

Simplify each term.

Cancel the common factor of $π$ .

Cancel the common factor.

$s = \frac{S A}{π r} + \frac{- π r^{2}}{π r}$

Rewrite the expression.

$s = \frac{S A}{π r} + \frac{- 1 r^{2}}{r}$

Cancel the common factor of $r^{2}$ and $r$ .

Factor $r$ out of $- 1 r^{2}$ .

$s = \frac{S A}{π r} + \frac{r (- 1 r)}{r}$

Cancel the common factors.

Raise $r$ to the power of $1$ .

$s = \frac{S A}{π r} + \frac{r (- 1 r)}{r^{1}}$

Factor $r$ out of $r^{1}$ .

$s = \frac{S A}{π r} + \frac{r (- 1 r)}{r \cdot 1}$

Cancel the common factor.

$s = \frac{S A}{π r} + \frac{r (- 1 r)}{r \cdot 1}$

Rewrite the expression.

$s = \frac{S A}{π r} + \frac{- 1 r}{1}$

Divide $- 1 r$ by $1$ .

$s = \frac{S A}{π r} - 1 r$

Rewrite $- 1 r$ as $- r$ .

$s = \frac{S A}{π r} - r$