Solve for r V=(2pir)/t

$V = \frac{2 π r}{t}$

Step 1

Rewrite the equation as $\frac{2 π r}{t} = V$ .

$\frac{2 π r}{t} = V$

Step 2

Multiply both sides by $t$ .

$\frac{2 π r}{t} t = V t$

Step 3

Simplify the left side.

Cancel the common factor of $t$ .

Cancel the common factor.

$\frac{2 π r}{t} t = V t$

Rewrite the expression.

$2 π r = V t$

Step 4

Divide each term in $2 π r = V t$ by $2 π$ and simplify.

Divide each term in $2 π r = V t$ by $2 π$ .

$\frac{2 π r}{2 π} = \frac{V t}{2 π}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 π r}{2 π} = \frac{V t}{2 π}$

Rewrite the expression.

$\frac{π r}{π} = \frac{V t}{2 π}$

Cancel the common factor of $π$ .

Cancel the common factor.

$\frac{π r}{π} = \frac{V t}{2 π}$

Divide $r$ by $1$ .

$r = \frac{V t}{2 π}$