Examples
Examples
Try the starting example
- Latitude (degrees)
- 45
- Web Mercator zoom
- 10
- Tile edge pixels
- 256
- Display pixel density (pixels per inch)
- 96
- Spherical earth radius (m)
- 6378137
- Ground resolution (m per pixel)
- 108.098282
- Representative scale denominator
- 408,560.436164
Try another scenario
- Latitude (degrees)
- 49.50000000000001
- Web Mercator zoom
- 10
- Tile edge pixels
- 256
- Display pixel density (pixels per inch)
- 96
- Spherical earth radius (m)
- 6378137
- Ground resolution (m per pixel)
- 99.283758
- Representative scale denominator
- 375,245.698318
Calculation method
Calculation method
Ground resolution (m per pixel)
2pi R cos(latitude)/(tile pixels×2^zoom).
Representative scale denominator
Ground meters per pixel × pixels per inch/0.0254.
Symbols and units
- a
- Latitude (degrees)
- b
- Web Mercator zoom
- c
- Tile edge pixels
- d
- Display pixel density (pixels per inch)
- e
- 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
- Latitude, zoom, tile size, earth model. Returns Ground resolution and display scale. 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. Latitude (degrees): minimum -85, maximum 85. Web Mercator zoom: minimum 0, maximum 24. Tile edge pixels: minimum 128, maximum 1024. Display pixel density (pixels per inch): minimum 1e-12, maximum 1000000000000.0. Spherical earth radius (m): minimum 1e-12, maximum 1000000000000.0.
Are these inputs private?
These calculations run in your browser. A shared link contains the values you choose to share. Only questions submitted to the separate AI finder are sent to OpenAI.