We know that the circumference of a circle is 36π.
And we must find the radius of the circle.
In order to find the radius we must use the next equation
[tex]circumference=2\pi r[/tex]Where r is the radius.
Now, we must replace circumference = 36π in the equation
[tex]36\pi=2\pi r[/tex]Finally, we must solve the equation for r
[tex]r=\frac{36\pi}{2\pi}=18[/tex]ANSWER:
[tex]18\text{ inches}[/tex]