To determine the arc length created by a 60-degree central angle in a circle with a 2-inch diameter, we first need to find the radius. The radius \( r \) is half of the diameter, so \( r = 1 \) inch. The formula for arc length \( s \) is given by \( s = r\theta \), where \( \theta \) is the angle in radians. Since 60 degrees is equivalent to \( \frac{\pi}{3} \) radians, we can calculate the arc length as follows:
\[ s = r\theta = 1 \cdot \frac{\pi}{3} = \frac{\pi}{3} \text{ inches} \approx 1.05 \text{ inches.} \]
Thus, the arc length for a 60-degree angle in a circle with a 2-inch diameter is approximately 1.05 inches.