Distance Between Two GPS Coordinates Calculator

Enter the latitude and longitude of two points to calculate the great-circle distance, initial bearing, and midpoint between them.

Created by Luis GonzalezLast updated: May 9, 2026

How to Use This Calculator

1
Enter Latitude 1 (°)
Input the latitude of your first point in decimal degrees, ranging from –90 to 90 (positive for North).
2
Enter Longitude 1 (°)
Input the longitude of your first point in decimal degrees, ranging from –180 to 180 (positive for East).
3
Enter Latitude 2 (°)
Input the latitude of your second point in decimal degrees, ranging from –90 to 90 (positive for North).
4
Enter Longitude 2 (°)
Input the longitude of your second point in decimal degrees, ranging from –180 to 180 (positive for East).
5
Review your results
See the great-circle distance, bearing, and midpoint between your two GPS coordinates.

Example Calculation

A traveler wants to find the distance between Los Angeles (34.05°, -118.25°) and Las Vegas (36.12°, -115.17°) to plan a road trip.

Latitude 1 (°)

34.05

Longitude 1 (°)

-118.25

Latitude 2 (°)

36.12

Longitude 2 (°)

-115.17

Results

367.63 km

Tips

Verify Coordinate Format

Always ensure your GPS coordinates are in decimal degrees (e.g., 34.05, -118.25) rather than degrees-minutes-seconds. Incorrect formatting can lead to significant errors in distance calculations, especially for long distances.

Understand Great-Circle vs. Rhumb Line

This calculator uses the great-circle distance, which is the shortest path between two points on a sphere. For long-distance navigation (e.g., over 500 km), this is most accurate. Rhumb lines (constant bearing) are simpler to navigate but cover a longer distance, particularly at higher latitudes.

Consider Altitude for Extreme Precision

While this calculator assumes a perfectly spherical Earth, for extremely precise applications like satellite tracking or high-altitude aviation, factor in altitude. A 10,000-meter altitude difference can add several kilometers to the effective surface distance for distant points.

Pinpointing Locations: The Distance Between Two GPS Coordinates Calculator

The Distance Between Two GPS Coordinates Calculator is an essential tool for navigators, geographers, and travelers, providing the great-circle distance between any two points on Earth. This calculation, crucial for everything from flight planning to geological surveys, delivers results in kilometers, miles, nautical miles, and feet, along with the initial bearing and midpoint. For example, the distance from New York City to London is approximately 5,570 km (3,460 miles), a figure that significantly impacts travel time and logistics in 2025.

Why Accurate GPS Distance Matters for Planning

Accurate calculation of the distance between two GPS coordinates is fundamental for a myriad of real-world applications. In aviation, it's used for flight path optimization, fuel planning, and emergency navigation. Maritime industries rely on it for efficient shipping routes and search and rescue operations. For outdoor enthusiasts, hikers, and explorers, it helps plan routes, estimate travel times, and ensure safety. Even urban planners and real estate developers use these distances to assess proximity to services or for infrastructure development, making precise geographic measurements indispensable.

The Haversine Formula for Great-Circle Distances

The Distance Between Two GPS Coordinates Calculator utilizes the Haversine formula, a widely accepted method for calculating the great-circle distance between two points on a sphere. This formula accounts for the Earth's curvature, providing the shortest distance across the surface.

The key steps involve:

Converting latitudes and longitudes from degrees to radians.
Calculating the differences in latitude (dLat) and longitude (dLon).
Applying the Haversine formula to find the central angle (c) between the two points.
Multiplying this angle by the Earth's radius (R) to get the distance.

dLat = (lat2 - lat1) in radians
dLon = (lon2 - lon1) in radians
a = sin(dLat / 2)^2 + cos(lat1 in rad) × cos(lat2 in rad) × sin(dLon / 2)^2
c = 2 × atan2(sqrt(a), sqrt(1 - a))
Distance = R × c

Where R is the Earth's radius (e.g., 6371 km for average radius), lat1, lon1, lat2, lon2 are the coordinates of the two points, and atan2 is the two-argument arctangent function.

💡 For analyzing distances in a simpler 2D Cartesian plane, our Distance Between Two Points Calculator can provide Euclidean distance and other metrics.

Mapping a Journey: A GPS Distance Example

Consider a pilot planning a flight from Los Angeles to Las Vegas.

Latitude 1 (°): Los Angeles is at 34.05°.
Longitude 1 (°): Los Angeles is at -118.25°.
Latitude 2 (°): Las Vegas is at 36.12°.
Longitude 2 (°): Las Vegas is at -115.17°.

First, convert all degrees to radians. Then, calculate dLat and dLon. Apply the Haversine formula to find a and c. Finally, multiply c by the Earth's radius (6371 km) to get the distance.

The calculated great-circle distance is approximately 367.63 km. This translates to roughly 228.43 miles, or 198.50 nautical miles, with an initial bearing of about 45.4° (Northeast).

💡 If you need to work with fractions on a visual scale, our Fraction on a Number Line Plotter can help you visualize values and distances.

Mathematical Foundations of Geographic Coordinates

The system of latitude and longitude, refined over centuries, forms the mathematical backbone of global positioning. Latitude lines (parallels) run horizontally, measuring angular distance from the equator (0°). Longitude lines (meridians) run vertically, measuring angular distance from the Prime Meridian (0°). This spherical coordinate system allows for precise, unambiguous identification of any point on the Earth's surface. While a simple 2D Cartesian grid works for small local areas, the Earth's curvature necessitates spherical geometry, like the Haversine formula, for accurate long-distance calculations. These mathematical principles underpin all modern navigation and mapping technologies.

Understanding Distance Calculation Formula Variants

While the Haversine formula is widely used for its accuracy and robustness, particularly for global distances, other methods exist, each with its own applicability. The Spherical Law of Cosines is another common approach for great-circle distances, often computationally simpler than Haversine, but can suffer from precision issues for very small distances or near antipodal points due to floating-point arithmetic limitations. For shorter distances (e.g., within a few kilometers), simpler planar Cartesian approximations (like the Pythagorean theorem on a flattened local grid) can be sufficiently accurate and much faster to compute, though they completely ignore Earth's curvature. Each variant offers a trade-off between computational complexity, accuracy, and the range of distances over which it performs reliably.

Frequently Asked Questions

What is a great-circle distance?

A great-circle distance is the shortest distance between any two points on the surface of a sphere, measured along the surface itself. On Earth, this path follows the arc of a 'great circle' – a circle whose plane passes through the center of the sphere, such as the equator or lines of longitude. This method is fundamental for long-distance navigation in aviation and maritime travel.

How does the Haversine formula work for GPS distances?

The Haversine formula is a common method for calculating great-circle distances between two points on a sphere given their longitudes and latitudes. It determines the angular separation between the points, which is then multiplied by the Earth's radius to find the surface distance. This formula is particularly robust for calculating distances between points anywhere on the globe, even at antipodal locations.

What is the difference between latitude and longitude?

Latitude measures a point's distance north or south of the equator, expressed as an angle from 0° at the equator to 90° at the poles. Longitude measures a point's distance east or west of the Prime Meridian, expressed as an angle from 0° to 180°. Both are essential for uniquely identifying any location on Earth's surface, forming a global coordinate system.

Why is the Earth's radius important for distance calculations?

The Earth's radius is crucial because it converts the angular separation between two points into a physical distance on the surface. Since the Earth is not a perfect sphere but an oblate spheroid, using an average radius (e.g., 6371 km) provides a good approximation. For extremely precise applications, a more complex geodetic model that accounts for the Earth's flattening is used.

What does initial bearing mean in GPS calculations?

Initial bearing is the compass direction you would need to head from the starting point to begin traveling along the great-circle path towards the destination. It's expressed in degrees clockwise from true North (0-360°). As you travel along a great circle, your bearing will continuously change, so the initial bearing is only accurate at the very start of the journey.