Answer:
The radius is [tex]r=6\ units[/tex]
Step-by-step explanation:
we know that
The area of a circle is equal to
[tex]A=\pi r^{2}[/tex]
In this problem we have
[tex]A=36\pi\ units^{2}[/tex]
substitute in the formula and solve for r
[tex]36\pi=\pi r^{2}[/tex]
Simplify
[tex]36=r^{2}[/tex]
square root both sides
[tex]r=6\ units[/tex]