# Pick’s Theorem

## Pick’s Theorem

Pick’s theorem provides a formula for calculating the area of a polygon drawn on lattice points.

### Formula

Pick’s formula for calculating the area A, is: A = $$\frac{P}{2}$$ + Q – 1, where :

• P is the number of points on the polygonal chain;
• Q is the number of points located inside the polygon.

### Example

A = $$\frac{P}{2}$$ + Q – 1
A = $$\frac{9}{2}$$ + 5 – 1
A = 4.5 + 5 – 1
A = 8.5