#### Answer

$\pi$ inches

#### Work Step by Step

Step 1: The formula to be used here is $s=r\theta$ where $s$ is the length of the arc of a circle of radius $r$ and central angle $\theta$.
Step 2: $r=2$ inches and the distance traveled by the tip of the minute hand in a particular duration denotes the arc length $s$.
Step 3: Since 60 minutes denote $2\pi$ radians, 15 minutes represent $(\frac{15}{60}\times2\pi) = \frac{\pi}{2}$ radians.
Step 4: Substituting the values in the equation,
$s=(2)(\frac{\pi}{2})= \pi$ inches