Area | Proof without words | Theorems about circles

Pizza theorem

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 whether the central cutting point of these slices was in the very center of the circle. (Wikipedia).

Pizza theorem
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http://mathispower4u.wordpress.com/

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From playlist Summer of Math Exposition Youtube Videos

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Are you being cheated on pizza? See my next video: How Many Guards are Enough? https://www.youtube.com/watch?v=OERYaFGBPbM&list=UUjwOWaOX-c-NeLnj_YGiNEg Follow me on Twitter for more: https://twitter.com/TPointMath

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Fermat's Last Theorem - The Theorem and Its Proof: An Exploration of Issues and Ideas [1993]

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