Question

Gompers is trying to cut a round pizza into the largest possible number of pieces with 3 straight cuts of the knife. He can't restack or rearrange the pieces after a cut. What is the largest number of pieces he can cut?

Answer 1

The first two cuts can intersect at only 1 pt regardless of where they are placed. So 4 pieces there. The last cut can only intersect each other cut a 1 pt, regardless of placement. As long as the intersection is different than the first intersection, then you will have 7 pieces.