Outdoors & maps

Latitude–longitude rectangle area

Estimate the spherical surface area inside geographic bounds.

Latitude–longitude rectangle area
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A clear answer. Here’s how.

Area = R² × longitude span in radians × [sin(north)−sin(south)], with R=6,371 km. Edges follow parallels and meridians. If east<west, the interval crosses the antimeridian. Equal longitudes mean zero width; west=−180 and east=180 covers all longitudes. This is not an ellipsoidal cadastral area calculation.

See a worked example

Worked example

A fixed demonstration, separate from the values you enter above.

Southern latitude
50
Northern latitude
52
Western longitude
-1
Eastern longitude
1

Example result

Spherical area (km²)
31,122.8737743
Area (square miles)
12,016.6087443
Longitude span
2°