Pick's Theorem

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Pick's Theorem expresses the area of a polygon with all its vertices on lattice points in a coordinate plane in terms of the number of lattice points inside the polygon and the number of lattice points on the sides of the polygon. The formula is:

$A = I + \frac{B}{2} - 1$

with $I$ being the number of interior lattice points, and $B$ being the number of lattice points on the boundary.

Proof

some one edit one in please...