Pizza split: Difference between revisions

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You order a pizza from A1-Discount Pizza Delivers.  They are incredibly cheap, but the pizza quality leaves something to be desired.  The pizza you get is completely deformed (not anything close to a circle, although it does not have and sharp corners at least).  What's more, there is only a single piece of pepperoni, place somewhere on the pizza.
You order a pizza from A1-Discount Pizza Delivers.  They are incredibly cheap, but the pizza quality leaves something to be desired.  The pizza you get is completely deformed (not anything close to a circle, although it does not have any sharp corners at least).  What's more, there is only a single piece of pepperoni, placed somewhere on the pizza.


Is it possible to divide the pizza between you and your roommate so by making a single cut through the pizza resulting in two pieces which have the same amount of pizza, and exactly half of the pepperoni?  
Is it possible to divide the pizza between you and your roommate with a single cut through the pizza in such a way that both pieces have the same amount of pizza, and exactly half of the pepperoni?  


[[Category: Calculus]]
[[Category: Calculus]]

Current revision as of 23:51, 24 November 2010

You order a pizza from A1-Discount Pizza Delivers. They are incredibly cheap, but the pizza quality leaves something to be desired. The pizza you get is completely deformed (not anything close to a circle, although it does not have any sharp corners at least). What's more, there is only a single piece of pepperoni, placed somewhere on the pizza.

Is it possible to divide the pizza between you and your roommate with a single cut through the pizza in such a way that both pieces have the same amount of pizza, and exactly half of the pepperoni?