## 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, © Copyright 2009 Stan Wagon. Reproduced with permission. |

22 September 2009