Formula
- Use the units shown beside each field.
- Results update automatically whenever you change an input.
- Displayed values use up to four decimal places, or scientific notation for very small or large numbers. Calculations use standard floating-point arithmetic; exact integer and fraction tools identify their own precision rules.
- Spherical shortest surface arc; ignores ellipsoid, terrain and route constraints. Distance uses the same unit as the supplied radius.
Example Calculation
- Latitude 1: 0 °
- Longitude 1: 0 °
- Latitude 2: 0 °
- Longitude 2: 90 °
- Sphere radius: 6371
Latitude 1 = 0; Longitude 1 = 0; Latitude 2 = 0; Longitude 2 = 90; Sphere radius = 6371. Primary result: 10007.543398.
Frequently asked questions
How do I use this calculator?
Enter latitude 1, longitude 1, latitude 2, longitude 2, sphere radius. The result updates automatically. Use Reset to restore the example values.
What method does it use?
h=sin²(Δφ/2)+cosφ1 cosφ2 sin²(Δλ/2); distance=2R asin(√h).. Spherical shortest surface arc; ignores ellipsoid, terrain and route constraints. Distance uses the same unit as the supplied radius.
Why might a rounded result differ?
The calculation keeps full numeric precision internally, then rounds the displayed result. Rounding intermediate steps by hand can produce a slightly different answer.
Are my inputs saved online?
No. This calculator processes your inputs in your browser. A recently used list stores only calculator names on this device, not your entered values.
Check the assumptions and units before using this result. Read about calculation methods.