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Polygon Area from Coordinates

Enter 3–100 ordered vertices, one x,y pair per line. The last edge closes automatically; an optional repeated first point is accepted. Coordinates must be within ±1,000,000. Cartesian units only, not latitude/longitude.

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Enter 3–100 ordered vertices, one x,y pair per line. The last edge closes automatically; an optional repeated first point is accepted. Coordinates must be within ±1,000,000. Cartesian units only, not latitude/longitude.

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How to use this tool

  1. Enter 3–100 ordered vertices, one x,y pair per line. The last edge closes automatically; an optional repeated first point is accepted. Coordinates must be within ±1,000,000. Cartesian units only, not latitude/longitude.
  2. Calculate polygon

How is area calculated?

The shoelace formula gives signed area; its absolute value is reported. The centroid assumes uniform area density. Winding uses a Cartesian y axis pointing upward.

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Common questions

How is area calculated?

The shoelace formula gives signed area; its absolute value is reported. The centroid assumes uniform area density. Winding uses a Cartesian y axis pointing upward.