Haversine Formula — Great Circle Distance
Point 1 Latitude (°)
Point 1 Longitude (°)
Point 2 Latitude (°)
Point 2 Longitude (°)
✓Great Circle Distance
Kilometres
5570.2 km
Miles
3461.2 mi
Nautical Miles
3007.7 nm
The Haversine formula calculates the great-circle distance between two points on a sphere (like Earth) from their latitude and longitude. It is used in navigation, mapping, and GPS applications.
- 1a = sin²(Δlat/2) + cos(lat₁)cos(lat₂)sin²(Δlon/2)
- 2c = 2×atan2(√a, √(1−a))
- 3d = R × c, where R = 6371 km (Earth radius)
- 4Gives shortest path along Earth's surface
London (51.5°N,0.1°W) to New York (40.7°N,74°W)=≈ 5,570 km / 3,461 miles
Paris to Berlin=≈ 878 km
| From | To | Distance (km) |
|---|---|---|
| London | New York | 5570 |
| London | Sydney | 16993 |
| New York | Los Angeles | 3940 |
| Paris | Berlin | 878 |
References
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