Solve for a A=a/360pir^2

$A = \frac{a}{360} π r^{2}$

Rewrite the equation as $\frac{a}{360} \cdot (π r^{2}) = A$ .

$\frac{a}{360} \cdot (π r^{2}) = A$

Simplify.

Combine $π$ and $\frac{a}{360}$ .

$\frac{π a}{360} \cdot r^{2} = A$

Combine $\frac{π a}{360}$ and $r^{2}$ .

$\frac{π a r^{2}}{360} = A$

Divide each term in $\frac{π a r^{2}}{360} = A$ by $π r^{2}$ and simplify.

Divide each term in $\frac{π a r^{2}}{360} = A$ by $π r^{2}$ .

$\frac{\frac{π a r^{2}}{360}}{π r^{2}} = \frac{A}{π r^{2}}$

Simplify the left side.

Multiply the numerator by the reciprocal of the denominator.

$\frac{π a r^{2}}{360} \cdot \frac{1}{π r^{2}} = \frac{A}{π r^{2}}$

Combine.

$\frac{π a r^{2} \cdot 1}{360 (π r^{2})} = \frac{A}{π r^{2}}$

Cancel the common factor of $π$ .

Cancel the common factor.

$\frac{π a r^{2} \cdot 1}{360 (π r^{2})} = \frac{A}{π r^{2}}$

Rewrite the expression.

$\frac{a r^{2} \cdot 1}{360 (r^{2})} = \frac{A}{π r^{2}}$

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

Cancel the common factor.

$\frac{a r^{2} \cdot 1}{360 r^{2}} = \frac{A}{π r^{2}}$

Rewrite the expression.

$\frac{a \cdot 1}{360} = \frac{A}{π r^{2}}$

Multiply $a$ by $1$ .

$\frac{a}{360} = \frac{A}{π r^{2}}$

Multiply both sides of the equation by $360$ .

$360 \frac{a}{360} = 360 \frac{A}{π r^{2}}$

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $360$ .

Cancel the common factor.

$360 \frac{a}{360} = 360 \frac{A}{π r^{2}}$

Rewrite the expression.

$a = 360 \frac{A}{π r^{2}}$

Simplify the right side.

Combine $360$ and $\frac{A}{π r^{2}}$ .

$a = \frac{360 A}{π r^{2}}$