SOLUTION: Find the arc length of a 30 degree sector of a circle with a radius of 9 in.

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Question 538284: Find the arc length of a 30 degree sector of a circle with a radius of 9 in.
Answer by fcabanski(1391) About Me  (Show Source):
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Circumference of a circle (C) is C=pi%2Ad where d is the diameter, or 2 times the radius.


For this circle diameter is 2*9=18 and circumference is C=18%2Api


Arc length is in the same ratio to the circumference of the circle as the sector angle is to 360 degrees.


In this case that means


30%2F360+=+x%2F%2818%2Api%29 where x is the arc length.


Cross multiply.


360x=540%2Api


Divide both sides by 360.


x=540%2Api%2F360+=+%283%2F2%29%2Api


That's the exact answer. Depending on what is used for pi, there are different approximations. Use 22/7.


x=%283%2F2%29%2A%2822%2F7%29+=+66%2F14+=+33%2F7=4.714

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