Solve for I P=4piIr^2

$P = 4 π I r^{2}$

Step 1

Rewrite the equation as $4 π I r^{2} = P$ .

$4 π I r^{2} = P$

Step 2

Divide each term in $4 π I r^{2} = P$ by $4 π r^{2}$ and simplify.

Divide each term in $4 π I r^{2} = P$ by $4 π r^{2}$ .

$\frac{4 π I r^{2}}{4 π r^{2}} = \frac{P}{4 π r^{2}}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 π I r^{2}}{4 π r^{2}} = \frac{P}{4 π r^{2}}$

Rewrite the expression.

$\frac{π I r^{2}}{π r^{2}} = \frac{P}{4 π r^{2}}$

Cancel the common factor of $π$ .

Cancel the common factor.

$\frac{π I r^{2}}{π r^{2}} = \frac{P}{4 π r^{2}}$

Rewrite the expression.

$\frac{I r^{2}}{r^{2}} = \frac{P}{4 π r^{2}}$

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

Cancel the common factor.

$\frac{I r^{2}}{r^{2}} = \frac{P}{4 π r^{2}}$

Divide $I$ by $1$ .

$I = \frac{P}{4 π r^{2}}$