GIS raster cell area by latitude calculator

Calculate cell areas by latitude and sum of one cell at each supplied latitude with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use cell areas by latitude and sum of one cell at each supplied latitude to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Cell-center latitudes (degrees)
0,30,60
Latitude resolution (degrees)
0.01
Longitude resolution (degrees)
0.01
Spherical earth radius (m)
6371008.8
Cell areas by latitude (m²)
[1236434.58524,1070783.76094,618217.292623]
Sum of one cell at each supplied latitude (m²)
2,925,435.638807

Try another scenario

Cell-center latitudes (degrees)
[10, 40, 70]
Latitude resolution (degrees)
0.01
Longitude resolution (degrees)
0.01
Spherical earth radius (m)
6371008.8
Cell areas by latitude (m²)
[1217650.36564,947163.843308,422885.534058]
Sum of one cell at each supplied latitude (m²)
2,587,699.743007
Calculation method

Calculation method

Cell areas by latitude (m²)

R² delta longitude × (sin(north edge)−sin(south edge)); spherical model.

Sum of one cell at each supplied latitude (m²)

Sum calculated cell areas.

Symbols and units
a
Cell-center latitudes (degrees)
b
Latitude resolution (degrees)
c
Longitude resolution (degrees)
d
Spherical earth radius (m)

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • Grid resolution, latitude rows, earth model. Returns Cell-area estimates and totals. All coefficients and observations are user supplied; results describe only the stated mathematical model. Quantities are deterministic calculations from supplied observations and assumptions; no external data is fetched. Supported limits: Finite inputs only; numeric fields bounded as labelled. Lists and JSON records are limited to 256 entries unless a stricter tool bound is stated. No automatic design approval, legal conclusion, treatment recommendation or safety certification. Cell-center latitudes (degrees): minimum -89.9, maximum 89.9. Latitude resolution (degrees): minimum 1e-12, maximum 10. Longitude resolution (degrees): minimum 1e-12, maximum 10. Spherical earth radius (m): minimum 1e-12, maximum 1000000000000.0.
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