## Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

$1.047 \text{ inches}$
$\because s = r \theta$ where $s$: Length of the arc of the circle $r$: Radius of the circle $\theta$: Central angle that subtends the arc (in radians) Converting $\theta$ from degrees to radians: $$\theta = 30 \times \dfrac{\pi}{180}= \dfrac{\pi}{6} \text{ radians}$$ Using the the formula above gives: $s = r \theta$ $s = 2 \times \dfrac{\pi}{6} \approx \boxed{1.047 \text{ inches}}$