SOLUTION: A central angle of a circle that measures n/3 rads intercepts an arc that is 6 cm. What is the radius of the circle?
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Question 1022147: A central angle of a circle that measures n/3 rads intercepts an arc that is 6 cm. What is the radius of the circle? Answer by FrankM(1040) (Show Source):
You can put this solution on YOUR website!
The important thing is to understand clearly what a radian is. By definition, it's the angle that will produce a subtended arc equal in length to the radius.
Your angle n/3 rad produces a 6 cm arc.
We just need to solve for "what arc would 1 radian subtend?" as that's exactly the radius your looking to solve.
(3/n) (n/3) rad = 6 cm (3/n)
1 rad = 18/n cm.
