Solve for r l=(x*2pir)/360

$l = \frac{x \cdot 2 π r}{360}$

Rewrite the equation as $\frac{x \cdot (2 π r)}{360} = l$ .

$\frac{x \cdot (2 π r)}{360} = l$

Cancel the common factor of $2$ and $360$ .

Factor $2$ out of $x \cdot (2 π r)$ .

$\frac{2 (x \cdot (π r))}{360} = l$

Cancel the common factors.

Factor $2$ out of $360$ .

$\frac{2 (x \cdot (π r))}{2 \cdot 180} = l$

Cancel the common factor.

$\frac{2 (x \cdot (π r))}{2 \cdot 180} = l$

Rewrite the expression.

$\frac{x \cdot (π r)}{180} = l$

Multiply both sides by $180$ .

$\frac{x \cdot (π r)}{180} \cdot 180 = l \cdot 180$

Simplify.

Simplify the left side.

Cancel the common factor of $180$ .

Cancel the common factor.

$\frac{x \cdot π r}{180} \cdot 180 = l \cdot 180$

Rewrite the expression.

$x \cdot π r = l \cdot 180$

$x π r = l \cdot 180$

Simplify the right side.

Move $180$ to the left of $l$ .

$x π r = 180 l$

Divide each term in $x π r = 180 l$ by $x π$ and simplify.

Divide each term in $x π r = 180 l$ by $x π$ .

$\frac{x π r}{x π} = \frac{180 l}{x π}$

Simplify the left side.

Cancel the common factor of $x$ .

Cancel the common factor.

$\frac{x π r}{x π} = \frac{180 l}{x π}$

Rewrite the expression.

$\frac{π r}{π} = \frac{180 l}{x π}$

Cancel the common factor of $π$ .

Cancel the common factor.

$\frac{π r}{π} = \frac{180 l}{x π}$

Divide $r$ by $1$ .

$r = \frac{180 l}{x π}$