Respuesta :

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]