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Calculate the great circle distance between any two locations
The great circle distance is the shortest distance between two points on the surface of a sphere, following the curvature of the Earth. It is calculated using the Haversine formula from latitude and longitude coordinates.
3,461
Miles
5,570
Kilometers
3,008
Nautical Mi
| From | To | Miles | Km |
|---|---|---|---|
| New York | London | 3,459 | 5,567 |
| Los Angeles | Sydney | 7,488 | 12,052 |
| Tokyo | Paris | 6,053 | 9,741 |
| Dubai | Singapore | 3,637 | 5,854 |
| Chicago | Mexico City | 1,691 | 2,721 |
| São Paulo | Cape Town | 4,282 | 6,891 |
Formula
d = 2R × arcsin(√(sin²(Δφ/2) + cos(φ₁)·cos(φ₂)·sin²(Δλ/2)))R = Earth's radius (3,958.8 miles / 6,371 km)
φ₁, φ₂ = latitude of origin and destination in radians
Δφ = difference in latitudes
Δλ = difference in longitudes
Worked Example
New York to London
Did you know? The Haversine formula was first published by Josef de Mendoza y Ríos in 1801 for use in celestial navigation. Despite GPS, it remains the standard method for calculating distances on a sphere and is accurate to within 0.5% for Earth.
Sources
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