Answer:
[tex]\large\boxed{r=3\sqrt2\ in}[/tex]
Step-by-step explanation:
The formula of a circumference of a circle:
[tex]C=2\pi r[/tex]
r - radius
We have
[tex]C=6\sqrt2\pi\ in[/tex]
Substitute:
[tex]2\pi r=6\sqrt2\pi[/tex] divide both sides by 2π
[tex]r=3\sqrt2\ in[/tex]