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Polygon Area Calculator

Compute the area and perimeter of any polygon from its vertex coordinates.

One x,y pair per line; values may be separated by a comma or space.

About this tool

Paste the x,y coordinates of a polygon's vertices, one per line, and get its area via the shoelace formula plus its perimeter. The polygon may be any simple shape; computed live in your browser.

Frequently asked questions

What is the shoelace formula?
It computes a polygon's area from its vertex coordinates by summing cross products of consecutive points, then halving the absolute value. It works for any simple polygon.
Do I need to repeat the first point at the end?
No. The polygon is automatically closed by connecting the last vertex back to the first when computing both area and perimeter.

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