I am having a hard time figuring out how a circle can be divided into 11 equal parts with only 4 cut allowed? My teacher gave this to us and I still can't cut my pie into eleven equal parts with only four cuts.
PLEASE HELP!!!! It IS possible to divide the circle into 11 pieces. I don't see how to make them 'equal' (not equal area at least). They key is to look at smaller cuts: 2 cuts  how many pieces as a maximum? 3 cuts  how many pieces as a maximum (7!). What causes the number to DROP  if you change the third cut? What will help the number be as big as possible? If you understand these effects for 3 lines, then you are likely to see how get 4 cuts to make 11 pieces. (Hint  do NOT make all the cuts go through the center of the circle.) I suspect the 'equal' part was a slip on what is, otherwise, an interesting question which is NOT easy. [I know  I was just marking an assignment on this general question  say for 12 cuts what is the maximum and why?  for a University course ;  ) ]
Walter Whiteley
