Pizza theorem

In geometry, the pizza theorem is a theorem about dividing a circle into groups of pieces with the same area, like cutting up a pizza.

Pizza theorem
The pizza theorem says that, if the angles at the point the cuts cross are equal, the total area of the green pieces is equal to the total area of the orange pieces.
Proof without words of the pizza theorem for eight slices (slices are white lines).

In geometry, the pizza theorem is a theorem about dividing a circle into groups of pieces with the same area, like cutting up a pizza.

The theorem says that a circle can be divided into groups of slices, where each group has equal area, by cutting it into pieces using cuts if the cuts pass through a common point with equal angles between them. After cutting the circle, pieces are placed in alternating groups.


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