Answer
$2\pi$ inches
Work Step by Step
The distance travelled by the tip of the hour hand refers to the arc length $s$.
Using the arc length formula $s=r\theta$, we substitute $r=6$ inches and $\theta=\frac{\pi}{3}$ into the formula:
$s=r\theta$
$s=6\times \frac{\pi}{3}$
$s=2\pi$ inches