SOLUTION: If the circumference of a circle is 24, and the angle measure of an arc is 120o, which is the length of the arc?
Algebra ->
Circles
-> SOLUTION: If the circumference of a circle is 24, and the angle measure of an arc is 120o, which is the length of the arc?
Log On
Question 726620: If the circumference of a circle is 24, and the angle measure of an arc is 120o, which is the length of the arc? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! If the circumference of a circle is 24, and the angle measure of an arc is 120o, which is the length of the arc?
----
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
==========================================
Cheers,
Stan H.
======================
(