Pick's Theorem Calculator

Calculate Area Using Pick's Theorem



Formula

The formula to calculate the area of a simple polygon using Pick's Theorem is:

\[ \text{A} = i + \frac{b}{2} - 1 \]

Where:

Definition

Example

Let's say the number of interior points (i) is 10 and the number of boundary points (b) is 14. Using the formula:

\[ \text{A} = 10 + \frac{14}{2} - 1 = 16 \, \text{units}^2 \]

So, the area of the polygon is 16 units².