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Mathematics 15 Online
OpenStudy (anonymous):

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.

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 =)

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?

OpenStudy (anonymous):

nvm tehehehe

jimthompson5910 (jim_thompson5910):

https://www.google.com/search?hl=&q=5%2Fpi

jimthompson5910 (jim_thompson5910):

google turns out to be a handy calculator

OpenStudy (anonymous):

1.5915?

jimthompson5910 (jim_thompson5910):

yes

jimthompson5910 (jim_thompson5910):

so the radius is 1.5915 approximately, what's the diameter?

OpenStudy (anonymous):

3.18300

OpenStudy (anonymous):

yea baby!

jimthompson5910 (jim_thompson5910):

yes, now round that to the nearest tenth

OpenStudy (anonymous):

that rounds to 3

OpenStudy (anonymous):

3.2

jimthompson5910 (jim_thompson5910):

you got it, it's 3.2

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