Pizza theorem

Equality of areas of alternating sectors of a disk with equal angles through any interior point

Nº Q1809539 ★

Common · Knowledge

Pizza theorem

Equality of areas of alternating sectors of a disk with equal angles through any interior point

In elementary geometry, the pizza theorem states the equality of two areas that arise when one partitions a disk in a certain way. The theorem is so called because it mimics a traditional pizza slicing technique.

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From Wikipedia

In elementary geometry, the pizza theorem states the equality of two areas that arise when one partitions a disk in a certain way. The theorem is so called because it mimics a traditional pizza slicing technique. It shows that if two people share a pizza sliced into 8 pieces (or any multiple of 4 greater than 8), and take alternating slices, then they will each get an equal amount of pizza, irrespective of the central cutting point.

Text: Wikipédia, CC BY-SA 4.0. · Image: Original photo by jeffreyw, edited by User:Tino 032. (CC BY 2.5) ·

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