Respuesta :

You know the circumference. You want to find the radius.

This is using the reverse circumference formula! 

CIRCUMFERENCE OF A CIRCLE:
[tex]2 \pi r[/tex] = circumference

Now plug in. [tex]2 \pi r = 72 \pi [/tex]

Simplify and isolate r.

[tex]2r=72[/tex]

[tex]r=36[/tex]

the radius is 36.