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Pick's Theorem
I recently came across Pickβs theorem, which looks like a neat way to compute the area of a polygon drawn with its edges on a regular grid. The area of the polygon can be expressed using the number of points that lie on the boundaries of the polygon ($n_B$) and the number of points lying inside of the polygon ($n_I$) as follows:
$$Area = \frac{n_B}{2} + n_I - 1$$
Reference: Link1 Link2
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