A circular wheel has a radius of 8 units. If a point on its edge travels an arc length of 16 units, the central angle in degrees that the wheel has rotated is. (Round to the nearest degree)
Answer & Analysis
Analysis
Question Analysis
This problem assesses the student's ability to use the arc length formula to find the central angle in degrees.
Key Concept Explanation
The arc length of a circle with radius and central angle (in radians) is given by . To find the central angle in radians, rearrange the formula to . Then, convert radians to degrees using .
Step-by-step Solution
1. Use the arc length formula and solve for :
Click "Show Answer" to reveal the answer and analysis
Want More Practice Questions?
Access thousands of practice questions with detailed explanations on Scholardog.