Solve for s a=(pr^2s)/360

$a = \frac{p r^{2} s}{360}$

Step 1

Rewrite the equation as $\frac{p r^{2} s}{360} = a$ .

$\frac{p r^{2} s}{360} = a$

Step 2

Multiply both sides of the equation by $360$ .

$360 \frac{p r^{2} s}{360} = 360 a$

Step 3

Simplify the left side.

Cancel the common factor of $360$ .

Cancel the common factor.

$360 \frac{p r^{2} s}{360} = 360 a$

Rewrite the expression.

$p r^{2} s = 360 a$

Step 4

Divide each term in $p r^{2} s = 360 a$ by $p r^{2}$ and simplify.

Divide each term in $p r^{2} s = 360 a$ by $p r^{2}$ .

$\frac{p r^{2} s}{p r^{2}} = \frac{360 a}{p r^{2}}$

Simplify the left side.

Cancel the common factor of $p$ .

Cancel the common factor.

$\frac{p r^{2} s}{p r^{2}} = \frac{360 a}{p r^{2}}$

Rewrite the expression.

$\frac{r^{2} s}{r^{2}} = \frac{360 a}{p r^{2}}$

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

Cancel the common factor.

$\frac{r^{2} s}{r^{2}} = \frac{360 a}{p r^{2}}$

Divide $s$ by $1$ .

$s = \frac{360 a}{p r^{2}}$