SOLUTION: Megan broke the fan belt on her car. the belt goes around two pulleys whose centers are 15 inches apart and each pulley is 4 inches in diameter. how long should the belt be?

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Question 369423: Megan broke the fan belt on her car. the belt goes around two pulleys whose centers are 15 inches apart and each pulley is 4 inches in diameter. how long should the belt be?
Answer by robertb(4012) About Me  (Show Source):
You can put this solution on YOUR website!
The exposed parts of the belt should be 15 in. + 15 in. = 30 inches long. The parts in contact with the pulleys should be the sum of the half-circumferences of the two pulleys. That would just give the whole circumference of one of the pulleys, or 2%2Api%2Ar+=+2%2Api%2A2+=+4%2Api. Therefore the total length of the belt should be 4pi+%2B+30inches.