SOLUTION TO PROBLEM 5  
 
 

Divide the diameter AB of the disk into six equal parts -- call the dividing points C,D,O,E,F. The semi-circles with diameters AD, AE BE and BD (see the picture below) determine the required partition (what can be verified straightforward).
 

 
 

A NOTE:        There are, of course, many ways to partition a disk as required in the problem. Some of them can be generalized to get solution to the following:

Let r,d be positive real numbers such that  $d\geq --> -- \frac{2}{3}\pir$. Divide a disk of radius r into three parts with equal areas and with perimeters d.
 
 

 
 

Questions and/or comments should be directed to Judy Downey or Griff Elder
 

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Last modified:   Thu Feb 8 21:21:10 CST 2001