How to Find the Center of a Polygon

Find the center of a polygon

You have a Polygon or other GeoJSON geometry and need one representative point for a label, marker, comparison, or summary. “Center” can mean several different things, so choose the definition that matches the task before calculating it.

Task flow: geometry + center definition → representative GeoJSON Point.

This guide compares center, centerMean, centerMedian, and centerOfMass using the same concave polygon. Different vertex placement and geometry shape produce different answers.

Choose a center method

For a regular rectangle, these results may be identical or nearly identical. Concave, multipart, or unevenly digitized geometry makes their differences visible.

None of these methods guarantees that its point lies inside a concave Polygon or one particular part of a MultiPolygon. If an inside point is required for a label or interaction, check the returned point against the polygon and apply a dedicated inside-point strategy when necessary.

Calculate four center points

Send one operation per request to the same endpoint:

POST https://api.geoapify.com/v1/geometry/operation?apiKey=YOUR_API_KEY
Content-Type: application/json

For example, calculate the center of mass of this L-shaped polygon:

{
  "operation": "centerOfMass",
  "geometry": {
    "type": "Polygon",
    "coordinates": [[
      [13.38, 52.50], [13.46, 52.50],
      [13.46, 52.52], [13.40, 52.52],
      [13.40, 52.58], [13.38, 52.58],
      [13.38, 52.50]
    ]]
  }
}

Repeat the request with only the operation value changed. Validated responses for this exact geometry are:

Each response wraps the Point in a GeoJSON Feature:

{
  "type": "geojson",
  "data": {
    "type": "Feature",
    "properties": {},
    "geometry": {
      "type": "Point",
      "coordinates": [13.40714285714286, 52.527142857142856]
    }
  }
}

Use the full-precision coordinates for subsequent calculations and round only for display.