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Mathematics 9 Online
OpenStudy (johnnewman):

WILL MEDAL AND FAN A wheel has a diameter of 21 inches. Approximately how far does it travel in 3 revolutions? A. 63 in. B. 65.94 in. C. 98.91 in. D. 197.82 in.

OpenStudy (mathmale):

You'll need to find the circumference of the wheel. What is the formula for circumference as a function of the wheel radius (r)? Each time the wheel makes one full turn, its axle moves as far forward as the circumference is long.

OpenStudy (mathmale):

So: How far forward does the axle of the wheel move as a result of three turns of the wheel?

OpenStudy (johnnewman):

so i got 395.64

OpenStudy (mathmale):

Could you possibly show y our work?

OpenStudy (solomonzelman):

If a wheel has a diameter "d", then the circumference is π•d. The distance you travel in one revolution is an equivalent of traveling the distance of that circumference. So if you travel r number of revolutions, then you will travel the distance or r circumferences. If 1 circumference is π•d, then r circumferences is r•π•d.

OpenStudy (johnnewman):

|dw:1452137568997:dw|

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