SOLUTION: in a circle, a central angle of 1/3radians subtends an arc of 3 centimeters. Find the length, in centimeters, of the radius of the circle.

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Question 964419: in a circle, a central angle of 1/3radians subtends an arc of 3 centimeters. Find the length, in centimeters, of the radius of the circle.
Found 2 solutions by Alan3354, macston:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
in a circle, a central angle of 1/3radians subtends an arc of 3 centimeters. Find the length, in centimeters, of the radius of the circle.
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arc = angle*r
3 = (1/3)r
r = 9 cm

Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
.
%28%281%2F3%29radians%29%28%28180degrees%29%2F%28pi%29%29=19.1degrees
Let C=circumference of the circle; r=radius
%2819.1degrees%2F360degrees%29=3cm%2FC
19.1C=1080
C=1080%2F19.1=56.5cm
%28pi%292r=C
r=C%2F%282%28pi%29%29
r=%2856.5cm%29%2F%282%28pi%29%29
r=9cm
ANSWER: The radius of the circle is 9 centimeters.