±Free
Polygon area and centroid
Calculate shoelace area, perimeter and area centroid of a simple polygon.
Enter boundary vertices in sequence as JSON coordinate pairs. The tool closes the boundary, applies shoelace sums for area and centroid, adds edge lengths and identifies clockwise or counterclockwise winding.
How to use
- Enter your text, values, or image.
- Adjust the options and run the tool.
- Copy or download your result.
Worked example
Example input
Vertices in boundary order (JSON): [[0,0],[4,0],[0,3]]
Example result
{
"area": 6,
"perimeter": 12,
"centroid": [
1.33333333333,
1
],
"winding": "counterclockwise"
}Limitations and details
Supports 3–500 points for one nonzero-area simple polygon; holes and intersecting or nonadjacent touching edges are not supported.
Inputs and options
- Vertices in boundary order (JSON)
- Text
Frequently asked questions
Is this tool free and private?
Yes. All 300 tools are free in this phase. Processing happens in your browser; your input and files are not sent to our servers.