If the circumference of a circle is 24, and the angle measure of an arc is 120°, which is the length of the arc?
a.
3
b.
6
c.
8
d.
12

Using radian meansure
theta = (arc length)/radius
---
arc length = radius*theta

Your Problem:
120 degrees = 120(pi/180) = (2/3)pi radians


circumference = 2pi*r
24 = 2pi*r
r = 12/pi

arc length = (12/pi)(2/3)pi = 8 units

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