What is the arc length of a segment of a circle with a central angle of 165° and a radius of 3 inches?
1 answer:
Answer:
11π/4 (radians) or 495° (degrees)
Step-by-step explanation:
Convert 165° to radians:
165 * π/180 = 165π/180 = <em>11π/12</em>
s = r/Ф
arc length = 3(11π/12) = 33π/12 = 11π/4
Convert back to degrees if asked to:
11π/4 * 180/π = 495° (Note that this is 165° * 3, see the pattern?)
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