Answer
$3\pi\ in$
Work Step by Step
1. The minute hand (radius $r=3\ in$) would rotate an angle of $360^\circ$ or $2\pi$ in one hour.
2. In $30\ min$ or $0.5\ hr$, the angle would be $\theta=\pi$
3. The distance traveled by the tip of the minute hand would be $L=r\theta=3\pi\ in$
