Ask Dr. Math: Elementary Level

       
From our Dr. Math archives:


Three Cuts, Seven Pieces

Is there any way that you can cut a pie into seven pieces with just three straight cuts?

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Yes, this can be done. Around the outside of the pie pick five points A, B, C, D, and E. Cut A to D and B to E. Call the intersection of these cuts P. Pick a sixth point F on the outside of the pie between E and A, but not on the line CP extended. Cut C to F.

See the seven pieces? If you are allowed to rearrange the pieces after the second cut, you can even make eight pieces.




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