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Old 2006-09-27, 19:49   #2
Wacky's Avatar
Jun 2003
The Texas Hill Country

2·541 Posts

Does "lines drawn" include construction lines? Are curved boundaries "lines"? If so, how do you define "radial" with respect to a curve?
If you allow my interpretation, the construction is easy.
First, locate four points on the circle such that they equally divide the circumference. (Construct two perpendicular diameters)
Then, using in turn each of those points, create equilateral triangles which have a base which extends from the center of the circle to one of the designated points.
Finally, using the top vertex of each triangle as a center, inscribe an arc to replace the base.
This will form 4 congruent parts.

Last fiddled with by Wacky on 2006-09-27 at 20:08
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