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Problem of the Week 1120
Squaring the Cycloid
A cycloid is the curve generated by a point on a wheel as the wheel rolls. This diagram shows half of a loop of the standard cycloid, whose parametric form is
Which is larger, the blue area or the orange area?
Source: T Apostol and M Mnatsakanian, Amer Math Monthly, Aug-Sept 2009, 598-611.
© Copyright 2009 Stan Wagon. Reproduced with permission.