Question
What is the maximum number of pieces you can divide a circular pizza into with 4 cuts? [All cuts must be distinct straight lines from one point on the edge of the pizza to another point on the edge of the pizza, and you may not move the pizza slices.]
Answers
MathMate
Assuming there is no limit on the size of the individual pieces, e.g. NOT x pieces of <i>equal</i> area.
No cut: 1 slice
1 cut: 2 slices
2 cuts: 4 slices (last cut intersects one previous cut, so adds two pieces)
3 cuts: 7 slices (last cut intersects 2 previous cuts, so adds 3 pieces)
4 cuts: (last cut interesects 3 previous cuts, so adds 4 pieces).
... and so on.
No cut: 1 slice
1 cut: 2 slices
2 cuts: 4 slices (last cut intersects one previous cut, so adds two pieces)
3 cuts: 7 slices (last cut intersects 2 previous cuts, so adds 3 pieces)
4 cuts: (last cut interesects 3 previous cuts, so adds 4 pieces).
... and so on.