We have a circle that has an area of 36π square units.
We have to find the radius.
The area in function of the radius is πr², so we can find the radius r as:
[tex]\begin{gathered} A=36\pi \\ \pi r^2=36\pi \\ r^2=\frac{36\pi}{\pi} \\ r^2=36 \\ r=\sqrt{36} \\ r=6 \end{gathered}[/tex]Answer: the radius is 6 units.