How it works
Apply the shoelace formula to ordered vertices and sum edge lengths, including the closing edge. Reject intersecting nonadjacent edges.
Input definitions
- Vertices CSV: x,y in boundary order
- Plain text; maximum 200,000 characters.
A worked example
- Vertices CSV: x,y in boundary order
- x,y 0,0 4,0 4,3 0,3
Assumptions & limits
Use consistent stated units. Ideal geometric or physical model; verify dimensions and applicability before real-world design.
Sources & review
Maintained by AnsRio. Methods and examples use automated checks; this does not imply independent professional certification.
Method updated 2026-10-17. Content checked against the stated method and examples. Our verification approach.
Common questions
Should I repeat the first vertex at the end?
No. Enter boundary vertices once in clockwise or counterclockwise order. The closing edge is added automatically.
How does Irregular polygon area and perimeter work?
Apply the shoelace formula to ordered vertices and sum edge lengths, including the closing edge. Reject intersecting nonadjacent edges.
What are the limits of Irregular polygon area and perimeter?
Use consistent stated units. Ideal geometric or physical model; verify dimensions and applicability before real-world design.