#### Answer

Radius of the circle is 6 inches.

#### Work Step by Step

Area of circle is $ A =πr^2$ where r is the radius.
It is given the Area (A) of the circle is $36π$ square inches.
$36π= πr^2$
Step-1: Divide both sides by $π$
$\frac{36π}{π}=r^2$
$36=r^2$
Step-2: Use the square root property
$±\sqrt36=r$
$±6=r$
Since radius of a circle cannot be negative, radius is 6 inches.