Radian and Degree Measure

Question

Given a circle of radius 11m, find the length of the arc subtended by a central angle of 120°. Round decimals to the nearest hundredth.

___m

Answer 1

The full circumference is 2π*11 = 22π.

120° is 1/3 of the full circle rotation (a full rotation is 360°).

Therefore the sector has arc length which is 1/3 the circumference. So the arc length is 22π/3.