Free Latitude Longitude Distance Calculator

The Latitude Longitude Distance Calculator is an online tool that computes the great-circle distance between any two points on Earth using their latitude and longitude coordinates. It serves as a Distance Between Coordinates Calculator, GPS Coordinates Distance Calculator, and Straight Line Distance Calculator, delivering quick results in kilometers, miles, or nautical miles. Whether you are a traveler, student, or GIS professional, this free tool provides reliable distance estimates based on the haversine formula.

Understanding Geographic Coordinates

Latitude and longitude form the global grid system for locating positions. Latitude, measured in degrees, indicates how far north or south a point is from the Equator, ranging from 0° at the Equator to 90° at the poles (positive for north, negative for south). Longitude measures the east-west position relative to the Prime Meridian (0°), with values from −180° to 180° (positive east, negative west). Coordinates are usually written as (latitude, longitude), e.g., (40.7484°, −73.9857°) for the Empire State Building. When using cardinal directions (N, S, E, W), a minus sign replaces west or south.

The Haversine Formula for Great-Circle Distance

The core algorithm behind this straight-line distance calculator is the haversine formula, which calculates the shortest path between two points on a sphere:

$$d = 2R \cdot \arcsin\left(\sqrt{\sin^2\left(\frac{\theta_2 - \theta_1}{2}\right) + \cos\theta_1 \cdot \cos\theta_2 \cdot \sin^2\left(\frac{\phi_2 - \phi_1}{2}\right)}\right)$$

Here:

• $\theta_1, \phi_1$ and $\theta_2, \phi_2$ are the latitudes and longitudes of the two points in radians.
• $R$ is Earth's mean radius, approximately 6371 km (3959 miles).
• $d$ is the great-circle distance.

To use the formula, latitude and longitude values must be converted from degrees to radians by multiplying by $\frac{\pi}{180}$. The haversine function avoids the issue of negative values with ordinary cosine, making it robust for all coordinate pairs.

Example Calculations

Paris to Krakow

• Paris: $48.8566^\circ$ N, $2.3522^\circ$ E
• Krakow: $50.0647^\circ$ N, $19.9450^\circ$ E

Great-circle distance: 1275.6 km (792.6 miles).

Mount Everest to Empire State Building

• Mount Everest: $27.9881^\circ$ N, $86.9250^\circ$ E
• Empire State Building: $40.7484^\circ$ N, $-73.9857^\circ$ W (longitude negative for west)

Distance: 12,122 km (7,532 miles).

These examples demonstrate how entering any pair of coordinates yields an instant result.

Practical Features

The calculator accepts input in decimal degrees (DD) as well as degrees-minutes-seconds (DMS). It automatically converts DMS to decimal for calculation. The output can be displayed in multiple units: kilometers, miles, and nautical miles. For those who need to compute distances frequently, this GPS Coordinates Distance Calculator simplifies the process with a user-friendly interface.

Accuracy and Limitations

Because Earth is not a perfect sphere, the haversine formula introduces an error of up to 0.5%. For applications requiring millimeter precision (e.g., surveying), ellipsoidal models such as WGS84 are recommended. For everyday use—hiking, flight planning, or geographic education—the haversine approximation is more than adequate.

Conclusion

The Latitude Longitude Distance Calculator offers a convenient way to find the great-circle distance between any two points on Earth. Input coordinates, choose units, and get the result instantly. Whether you call it a Straight Line Distance Calculator, Distance Between Two Points on Earth Calculator, or Haversine Distance Calculator, this tool delivers accurate, easy-to-understand distances for coordinates anywhere on the globe.