Posted by mathfailure on Tuesday, November 20, 2012 at 11:39am.
The inside wheels of a car traveling on a circular path are rotating half as fast as the outside wheels. The front two wheels are six feet apart. What is the number of feet in the path traced by the inside front wheel in one trip around the circle? Express your answer in the form "k pi", where k is an integer.

geometry  Damon, Tuesday, November 20, 2012 at 12:00pm
inside wheel at radius r
outside wheel at radius 2 r because circumference is twice
so r = 6
so
2 pi r = 12 r

geometry  Steve, Tuesday, November 20, 2012 at 12:02pm
2(2pi r) = 2pi (r+6)
2pi r = pi r + 6pi
pi r = 6pi
r = 6
so, the distance is 2pi * 6 = 12 pi

geometry  mathfailure, Tuesday, November 20, 2012 at 12:02pm
thanks alot man!
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