The Pick's Theorem calculator provides the approximate area of a polygon based on the number of lattice points inside the polygon, the number of points on the boundary and the size of a lattice square.
INSTRUCTIONS: Choose units and enter the following:
- (i) Interior Lattice Points
- (b) Boundary Lattice Points
- (LSA) Area of Lattice Square
Pick's Theorem Area (A): The calculator returns the area in square meters. However, this can be automatically converted to compatible units via the pull-down menu.
The Math / Science
i=7, b=8
A=i+b/2-1=10
Pick's Theorem provides a simple formula for calculating the area A of a simple polygon constructed on a grid of equal-distanced points such that all the polygon's vertices are grid points. The following formula is used: `A=i+b/2-1`, where:
- `i` = lattice points in the interior
- `b` = lattice points on the boundary
References
Wikipedia (https://en.wikipedia.org/wiki/Pick%27s_theorem)