Pick’s theorem:
Consider a square lattice of unit side. A simple polygon (with non-intersecting sides) of any shape is drawn with its vertices at the lattice points. The area of the polygon can be simply obtained as square units, where B is the number of lattice points on the boundary; I = number of lattice points in the interior region of the polygon. Prove this theorem.
Proof:
Refer Wikipedia š š š
https://en.wikipedia.org/wiki/Pick%27s_theorem
Cheers,
Nalin Pithwa.