SOLUTION: A wheel whose radius measures 16 inches is rotated. If a point on the circumference of the wheel moves through an arc of 12 feet what is the measure in radians of the angle through

Algebra ->  Functions -> SOLUTION: A wheel whose radius measures 16 inches is rotated. If a point on the circumference of the wheel moves through an arc of 12 feet what is the measure in radians of the angle through      Log On


   

Question 935422: A wheel whose radius measures 16 inches is rotated. If a point on the circumference of the wheel moves through an arc of 12 feet what is the measure in radians of the angle through which a spoke of the wheel travels
Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
c = 2*pi*r
c = 2*3.1415*(16/12)
c = 8.37733333333 feet
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arc length in circumferences:
12/c = 12/8.37733333333 = 1.43243673404 circumferences
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arc length in radians:
2pi radians/c
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1.43243673404 c * (2*3.1415 radians/c) = 9 radians
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