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A circlechord problem
Posted:
Feb 5, 1993 10:25 AM


This was taken from Stan Wagon's math problem mailing list.  A problemist believes that the following problem appeared in Mathematics Magazine between 1968 and 1974, but we could not find it. It does appear in Crux Math. in 1989. But I would very much like to discover any earlier references.
Here it is:
Let P be any point inside a circle and draw 4 chords through P making 8 equal (45 degree) angles at P. Color the resulting 8 sectors alternately black/white. Then the black area equals the white area.
A beautiful result!!



