Answer
$r^2=\dfrac{A}{\pi}$
Work Step by Step
$\bf{\text{Solution Outline:}}$
To solve the given equation, $
A=\pi r^2
$ for $
r^2
,$ use the properties of equality to isolate the variable.
$\bf{\text{Solution Details:}}$
Using the properties of equality to isolate the variable, the equation above is equivalent to
\begin{array}{l}\require{cancel}
A=\pi r^2
\\\\
\dfrac{A}{\pi}=\dfrac{\pi r^2}{\pi}
\\\\
\dfrac{A}{\pi}=r^2
\\\\
r^2=\dfrac{A}{\pi}
.\end{array}