How this calculation works
Calculate the area of a simple lattice polygon from its interior and boundary point counts.
THE FORMULA
A=I+B/2−1A worked example
Six interior points and eight boundary points give area 9.
Good to know
Use one simple polygon with integer-coordinate vertices and no holes.
Reference: OpenStax Algebra and Trigonometry, Trigonometric Applications (opens in a new tab) ↗
Read the result
Calculate the area of a simple lattice polygon from its interior and boundary point counts.
The primary result is labeled “Area”. Keep the input definitions in view when comparing this result with another method.
Try a related calculation
Use one simple polygon with integer-coordinate vertices and no holes.
For a related exercise, try the circle calculator.
A few questions, answered
How can I check the default inputs by hand?
Six interior points and eight boundary points give area 9.
Which rule does this calculator apply?
A=I+B/2−1