Posted by Cayla on Wednesday, March 14, 2012 at 4:58pm.
In a game show, the prize is the amount of revolutions a coin would make in one kilometer times the value of the coin. Your choices are the dime or the quarter. A dime has a diameter of 188 millimeters and a quarter has a diameter of 25 millimeters. Which coin would you choose to roll for one kilometer? How much more money would you make by choosing that coin?

geometry  consquela, Wednesday, March 14, 2012 at 6:52pm
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geometry  Reiny, Wednesday, March 14, 2012 at 7:55pm
My Canadian dime, same size as an American dime, is 18.8 mm
yours is like a small dinner plate
So one roll of the dime would cover π(18.8) mm
= 1.88π cm
1 km
= 100000 cm
so the number of rotations = 100000/(1.88π) = 16931
with a value of $$1693
for the quarter ...
one rotation covers 25π mm or 2.5 cm
number of rolls for a quarter in 1 km
= 100000/(2.5π) = 12732
with a value of .25(12732) = $3183
the choice is obvious
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