Question 825091: in terms of pi, how much farther does a 70cm diameter bicycle tire travel in one revolution than a 50cm diameter tire
Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website! in terms of pi, how much farther does a 70cm diameter bicycle tire travel in one revolution than a 50cm diameter tire
Circumference of the 70cm diameter tire
C = pi*r^2
C = pi*(35)^2 ... note: if the diameter is 70 cm, then the radius is 70/2 = 35 cm
C = pi*1225
C = 1225pi
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Circumference of the 50cm diameter tire
C = pi*r^2
C = pi*(25)^2 ... note: if the diameter is 50 cm, then the radius is 50/2 = 25 cm
C = pi*625
C = 625pi
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Now subtract the two circumferences (large - small): 1225pi - 625pi = (1225 - 625)pi = 600pi
The difference is 600pi, which is the final answer.
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