The arc length of a circle with a radius of 10 units and a central angle of 30 degrees is given by the formula. The arc length isunits.
Answer & Analysis
Analysis
Question Analysis
This problem assesses the student's ability to convert an angle from degrees to radians and then use the arc length formula.
Key Concept Explanation
The arc length of a circle with radius and central angle (in radians) is given by . To convert degrees to radians, use the formula .
Step-by-step Solution
1. Convert the angle from degrees to radians:
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