The Pizza Dilemma

Team: 
The Doom Cookies
Topic: Plane Geometry
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Two friends have a... disagreement over what shape of pizza to get. Things get intense, and an argument ensues.
P.S. The saxophone and bananaman part came to me in a dream. It makes sense. Trust me.
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The Doom Cookies

Common Core Standards: G-CO.10]
Problem #: 
146 (2013-2014)
Problem Difficulty Level: 3 [?]