Answer
$1.047 \text{ inches}$
Work Step by Step
$\because s = r \theta$
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 $
$s = 2 \times \dfrac{\pi}{6} \approx \boxed{1.047 \text{ inches}}$
