Q: Suppose you want to cut a circular cake with six straight cuts. What is the maximum number of pieces you can create? They can be different sizes but cannot be moved around.

A: 22 pieces.

The figure below is for 5 cuts with 16 pieces.

Each additional cut creates one more additional piece than the previous cut.

Here is the pattern:

#of Cuts #of Pieces # of Added Pieces

1 2 0

2 4 2

3 7 3

4 11 4

5 16 5

6 22 6