Geometry
Great-Circle Distance
Distance between two lat/long points (Haversine).
Formula
Formula
d = 2R·asin(√a)
Variables
| Symbol | Definition | Type & range | Units | Role |
|---|---|---|---|---|
| lat₁, lat₂ | latitudes | −90 ≤ lat ≤ 90 | degrees | result |
| lon₁, lon₂ | longitudes | −180 ≤ lon ≤ 180 | degrees | result |
| R | Earth radius (constant) | 6371 | km | result |
| d | great-circle distance | d ≥ 0 | km | result |
Try it yourself
Interactive calculator
Worked examples
Example 1
Givenlat₁ = 40.7128, lon₁ = -74.006, lat₂ = 51.5074, lon₂ = -0.1278
Result5570.22218
Example 2
Givenlat₁ = 0, lon₁ = 0, lat₂ = 0, lon₂ = 90
Result10007.5434