Tool to apply and calculate a surface using the Pick's Theorem that allows the calculation of the area of a polygon positioned on a lattice (normalized orthogonal grid) and whose vertices are points of the grid.
Pick's Theorem - dCode
Tag(s) : Geometry
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Pick's Theorem
Pick Polygon Area Calculator
Answers to Questions (FAQ)
What is the Pick Theorem?
Pick's theorem (or rule) easily calculates the area (surface) of a polygon with $ b $ vertices built on a lattice, a 2D grid of points with integer coordinates (points with equal distances). If all $ b $ vertices of the polygon (vertices can be flat) are grid points and the polygon has $ i $ points inside itself then Pick's formula indicates that the polygon area $ A $ is equal to $$ A = i + \frac{b}{2} - 1 $$
All the points present on the contour are considered as vertices.
How to calculate an area with the Pick Theorem?
Who created Pick's Theorem?
The formula owes its name to Georg Alexander Pick who described it in 1899.
Source code
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Cite as source (bibliography):
Pick's Theorem on dCode.fr [online website], retrieved on 2023-02-08,
