# Polygon Area Calculator

Calculate the area and perimeter of any polygon from its corner coordinates. Enter the corners in order as latitude and longitude pairs, one per line, and the tool closes the outline for you. You get the area in square meters, square kilometers, hectares, acres and square miles plus the perimeter in kilometers, miles and nautical miles, useful for land plots, farm fields, construction sites and map work.

## Frequently asked questions

### How do I enter the polygon?

Write each corner on its own line as latitude and longitude in decimal degrees, separated by a comma or a space. List the corners in order along the outline, either clockwise or counterclockwise. You need at least three different corners.

### Do I have to repeat the first point at the end?

No. If the last line differs from the first, the tool closes the polygon automatically. If you do repeat the first point, it is recognized and not counted twice.

### How is the area calculated?

The area is computed on a sphere with the mean Earth radius of 6,371.0088 kilometers, using the spherical polygon formula of Chamberlain and Duquette from the Turf geospatial library. The perimeter adds up the great-circle distances between neighboring corners.

### How accurate is the area?

For plots, fields and city-scale shapes the spherical result is typically within about 0.5 percent of an ellipsoidal survey calculation. The accuracy of your corner coordinates usually matters more, because an error of a few meters per corner changes small areas noticeably.

### What does the error about crossing edges mean?

The tool checks whether any two edges of the outline intersect. A self-intersecting shape such as a bow tie has no well-defined area, so reorder the corners along the boundary and try again.

### Which units are shown?

Square meters, square kilometers, hectares of 10,000 square meters, international acres of 4,046.8564224 square meters and square miles. The perimeter is shown in kilometers, miles and nautical miles, together with the number of corners.

### Can I calculate polygons with holes?

This tool handles one outer ring. To get the area of a shape with a hole, calculate the outer outline and the hole separately and subtract the area of the hole.

### Does the order of the corners matter?

The direction does not matter, because clockwise and counterclockwise give the same area. The sequence does matter: the corners must follow the boundary, otherwise edges cross or the shape changes.

### How many corners can I enter?

Up to 10,000 corners per polygon, within the 5 MiB input limit. Consecutive duplicate points are merged before the calculation.

### Can the polygon cross the 180th meridian?

Polygons that cross the date line are not supported, because the formula takes the longitude differences between corners directly. Split such a shape at 180 degrees and add the areas of both parts.

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