Question

What is the arc length of a segment of a circle with a central angle of 165° and a radius of 3 inches?​

Answer 1

11π/4 (radians) or 495° (degrees)

Explanation:

Convert 165° to radians:

165 * π/180 = 165π/180 = 11π/12

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?)