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Applies to: ✅ Microsoft Fabric ✅ Azure Data Explorer ✅ Azure Monitor ✅ Microsoft Sentinel
Calculates the area of a polygon or a multipolygon on Earth.
Syntax
geo_polygon_area(polygon)
Learn more about syntax conventions.
Parameters
| Name | Type | Required | Description |
|---|---|---|---|
| polygon | dynamic |
✔️ | Polygon or multipolygon in the GeoJSON format. |
Returns
The area of a polygon or a multipolygon, in square meters, on Earth. If the polygon or the multipolygon is invalid, the query will produce a null result.
Note
- The geospatial coordinates are interpreted as represented by the WGS-84 coordinate reference system.
- The geodetic datum used for measurements on Earth is a sphere. Polygon edges are geodesics on the sphere.
- If input polygon edges are straight cartesian lines, consider using geo_polygon_densify() to convert planar edges to geodesics.
- If input is a multipolygon and contains more than one polygon, the result will be the area of polygons union.
Polygon definition and constraints
dynamic({"type": "Polygon","coordinates": [ LinearRingShell, LinearRingHole_1, ..., LinearRingHole_N ]})
dynamic({"type": "MultiPolygon","coordinates": [[ LinearRingShell, LinearRingHole_1, ..., LinearRingHole_N ], ..., [LinearRingShell, LinearRingHole_1, ..., LinearRingHole_M]]})
- LinearRingShell is required and defined as a
counterclockwiseordered array of coordinates [[lng_1,lat_1],...,[lng_i,lat_i],...,[lng_j,lat_j],...,[lng_1,lat_1]]. There can be only one shell. - LinearRingHole is optional and defined as a
clockwiseordered array of coordinates [[lng_1,lat_1],...,[lng_i,lat_i],...,[lng_j,lat_j],...,[lng_1,lat_1]]. There can be any number of interior rings and holes. - LinearRing vertices must be distinct with at least three coordinates. The first coordinate must be equal to the last. At least four entries are required.
- Coordinates [longitude, latitude] must be valid. Longitude must be a real number in the range [-180, +180] and latitude must be a real number in the range [-90, +90].
- LinearRingShell encloses at most half of the sphere. LinearRing divides the sphere into two regions. The smaller of the two regions will be chosen.
- LinearRing edge length must be less than 180 degrees. The shortest edge between the two vertices will be chosen.
- LinearRings must not cross and must not share edges. LinearRings may share vertices.
Examples
The following example calculates NYC Central Park area.
let central_park = dynamic({"type":"Polygon","coordinates":[[[-73.9495,40.7969],[-73.95807266235352,40.80068603561921],[-73.98201942443848,40.76825672305777],[-73.97317886352539,40.76455136505513],[-73.9495,40.7969]]]});
print area = geo_polygon_area(central_park)
Output
| area |
|---|
| 3475207.28346606 |
The following example performs union of polygons in multipolygon and calculates area on the unified polygon.
let polygons = dynamic({"type":"MultiPolygon","coordinates":[[[[-73.9495,40.7969],[-73.95807266235352,40.80068603561921],[-73.98201942443848,40.76825672305777],[-73.97317886352539,40.76455136505513],[-73.9495,40.7969]]],[[[-73.94262313842773,40.775991804565585],[-73.98107528686523,40.791849155467695],[-73.99600982666016,40.77092185281977],[-73.96150588989258,40.75609977566361],[-73.94262313842773,40.775991804565585]]]]});
print polygons_union_area = geo_polygon_area(polygons)
Output
| polygons_union_area |
|---|
| 10889971.5343487 |
The following example calculates top 5 biggest US states by area.
US_States
| project name = features.properties.NAME, polygon = geo_polygon_densify(features.geometry)
| project name, area = geo_polygon_area(polygon)
| top 5 by area desc
Output
| name | area |
|---|---|
| Alaska | 1550934810070.61 |
| Texas | 693231378868.483 |
| California | 410339536449.521 |
| Montana | 379583933973.436 |
| New Mexico | 314979912310.579 |
The following example returns True because of the invalid polygon.
print isnull(geo_polygon_area(dynamic({"type": "Polygon","coordinates": [[[0,0],[10,10],[10,10],[0,0]]]})))
Output
| print_0 |
|---|
| True |