of the
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Problem
of the Week |
Note: This is the last Problem of the Week for this semester. Please check the POTW page again in late August for a new edition of the series. I will post solutions to all outstanding problems next week.
In a circle of radius 1 draw a central angle q joining points A and B on the
circumference of the circle. At these points draw the tangent lines
to the circle and let P be their point of intersection. Let
b(q) and r(q) be the area of the blue, respectively red regions
shown in the sketch on the left. What is
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ã2002 Alberto L. Delgado