Brian races his bicycle for 460 . A wheel of his bicycle turns 46 times as the bicycle travels this distance. What is the diameter of the wheel?
Use the value 3.14 for pi . Round your answer to the nearest tenth. Do not round any intermediate steps.
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jimthompson5910 (jim_thompson5910):
460 miles?
jimthompson5910 (jim_thompson5910):
Or is it in km?
OpenStudy (anonymous):
ft
jimthompson5910 (jim_thompson5910):
The circumference of the wheel is
C = 2pi*r
Since the wheel turns 46 times, this means that the bike has rolled 46C ft
which is the same as
46*2*pi*r feet
Since we know it rolled 460 feet total, we can say
46*2*pi*r = 460
Solve this equation for r to get your answer
OpenStudy (anonymous):
5 over pi =)
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jimthompson5910 (jim_thompson5910):
you got it, which approximates to what?
OpenStudy (anonymous):
i have no idea lol
jimthompson5910 (jim_thompson5910):
type 5 / pi into your calculator
OpenStudy (anonymous):
4/pi = 90
jimthompson5910 (jim_thompson5910):
hmm how are you getting that?
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