SOLUTION: The diameter of the front wheel of a tricycle is 8 inches and of each of the two back wheels 3 inches. How many revolutions has each of the back wheels made when the front wheel ha

Algebra ->  Circles -> SOLUTION: The diameter of the front wheel of a tricycle is 8 inches and of each of the two back wheels 3 inches. How many revolutions has each of the back wheels made when the front wheel ha      Log On


   

Question 608484: The diameter of the front wheel of a tricycle is 8 inches and of each of the two back wheels 3 inches. How many revolutions has each of the back wheels made when the front wheel has turned 1440 degrees?
A)2 2/3
B)4
c)10 2/3
D)24
E)96
Answer by stanbon(75887) About Me  (Show Source):
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The diameter of the front wheel of a tricycle is 8 inches and of each of the two back wheels 3 inches. How many revolutions has each of the back wheels made when the front wheel has turned 1440 degrees?
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# of front wheel revs = 1440/360 = 4
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distance traveled by front wheel: 4*(pi)*8 = 32(pi)inches
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distance traveled by back wheel must also be 32(pi)inches
circumference of back wheel = 3(pi) inches
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# of revs of back wheel = 32(pi)/3(pi) = 10 2/3
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Cheers,
Stan H.
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A)2 2/3
B)4
c)10 2/3
D)24
E)96