A circular park has a radius of 15 units. If a person walks along an arc that subtends a central angle of 70 degrees, the distance walked isunits. (Round to the nearest tenth)
Answer & Analysis
Analysis
Question Analysis
This problem assesses the ability to calculate the arc length of a circle given the radius and the central angle in degrees.
Key Concept Explanation
The formula for the arc length of a circle with radius and central angle (in radians) is given by . To use this formula, the angle must be converted from degrees to radians.
Step-by-step Solution
1. Convert the angle from degrees to radians: .
2. Calculate the arc length using the formula :
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