A circular gear with a radius of 10 cm rotates such that a p...

Question Analysis
This problem tests the student's ability to solve for the central angle given the arc length and the radius, in a real-world context involving a rotating gear.

Key Concept Explanation
The arc length of a circle is given by , where is the radius and is the central angle in radians. Solving for involves rearranging the formula to .

Step-by-step Solution
1. Use the arc length formula