Solve for r a=(v^2)/r

$a = \frac{v^{2}}{r}$

Rewrite the equation as $\frac{v^{2}}{r} = a$ .

$\frac{v^{2}}{r} = a$

Find the LCD of the terms in the equation.

Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.

$r, 1$

The LCM of one and any expression is the expression.

$r$

Multiply each term in $\frac{v^{2}}{r} = a$ by $r$ to eliminate the fractions.

Multiply each term in $\frac{v^{2}}{r} = a$ by $r$ .

$\frac{v^{2}}{r} r = a r$

Simplify the left side.

Cancel the common factor of $r$ .

Cancel the common factor.

$\frac{v^{2}}{r} r = a r$

Rewrite the expression.

$v^{2} = a r$

Solve the equation.

Rewrite the equation as $a r = v^{2}$ .

$a r = v^{2}$

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

Divide each term in $a r = v^{2}$ by $a$ .

$\frac{a r}{a} = \frac{v^{2}}{a}$

Simplify the left side.

Cancel the common factor of $a$ .

Cancel the common factor.

$\frac{a r}{a} = \frac{v^{2}}{a}$

Divide $r$ by $1$ .

$r = \frac{v^{2}}{a}$