# Pick's Theorem

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Suppose that a polygon has its corners at the points of a geoboard. (You can drag the corners.) Count the number of boundary points *B* and interior points *I*. As long as the polygon does not cross over itself, Pick's theorem gives the area as *A* = *I* + *B*/2 - 1. In words, the area is one less than the number of interior points plus half the number of border points.

Contributed by: Ed Pegg Jr (March 2011)

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