Distance Between Coordinates Calculator
Enter the latitude and longitude of two places to get the straight-line distance between them in kilometres, miles and nautical miles, with the direction to head in.
Decimal degrees; south is negative. Copy them from Google Maps by right-clicking a place.
West is negative.
Distance
1,033 km
- In miles
- 641.88 mi
- In nautical miles
- 557.78 nmi
- Starting direction
- 42.6° (NE)
The two points are 1,033 km (641.9 miles) apart in a straight line over the Earth's surface, heading NE at the start.
How it's worked out
- Haversine
a = sin²(Δlat ÷ 2) + cos lat₁ × cos lat₂ × sin²(Δlon ÷ 2)0.00655802 - Distance
2 × 6,371.0088 km × atan2(√a, √(1 − a))1,033 km
- This is the great-circle distance, “as the crow flies”; roads are longer. The Earth is treated as a sphere, which is accurate to within about 0.5%.
The haversine formula
a = sin²(Δlat ÷ 2) + cos lat₁ × cos lat₂ × sin²(Δlon ÷ 2)
distance = 2R × atan2(√a, √(1 − a)), R = 6,371 km
Examples
Karachi (24.8607, 67.0011) to Lahore (31.5204, 74.3587) is 1,033 km, starting at a bearing of 42.6° (NE). London to Paris is about 344 km.
Coordinates are in decimal degrees: south latitudes and west longitudes are negative.
Questions people ask
How far is Karachi from Lahore in a straight line?
About 1,033 km (642 miles), heading north-east. By road it is much further, roughly 1,200 km.
How do I get the coordinates of a place?
In Google Maps, right-click the spot and the latitude and longitude appear at the top of the menu; click them to copy.
What formula does it use?
The haversine formula, which gives the great-circle distance: the shortest path over the surface of a sphere.
How accurate is it?
Treating the Earth as a sphere is accurate to within about 0.5%, which is plenty for travel, delivery and planning.
About this calculator
Formula and rules last checked 25 October 2026Written and tested by the CalculatorDex teamReport a problem