Hole in one Pizza

Problem Setup

Two friends go to a pizza place that serves rectangular pizza. The[br]restaurant is called “The Hole in One Pizza” because the chef always[br]cuts out a circular piece of some radius randomly from the rectangular[br]pizza. How can two friends equally divide the pizza with one cut?[br][br][br]Canadian Mathematical Society, 2017 originally Peter Liljedahl

Tools needed

https://wiki.geogebra.org/en/Area_Tool[br]https://wiki.geogebra.org/en/Circular_Sector_Tool

Randomized Pie

Methods Tried

What methods did you try in order to split the pizza in half?

Answer

What is the method you feel evenly divides the pizza with one cut?

Justification

How do you know that the two slices are evenly divided?