Answer
The area of this circle can be expressed as:
$r$ = $\sqrt \frac{A}{\pi}$, $r\gt0$
Work Step by Step
The area of a circle is given by the following formula:
$A$ = $\pi$$r^{2}$
Now, we solve for $r$:
First, divide both sides by $\pi$:
$\frac{A}{\pi}$ = $r^{2}$
Then, we take the square root of r:
$r$ = $\sqrt \frac{A}{\pi}$
Since we are talking about length, we can only use those values of $r$ that are positive. So we can express the function for the area of this circle in the following way:
$r$ = $\sqrt \frac{A}{\pi}$, $r\gt0$
