Distance Between Two Lat Long Positions Calculator

This calculator helps you determine the distance between two points on Earth using their latitude and longitude coordinates. Whether you're planning a trip, tracking movement, or analyzing spatial data, this tool provides accurate distance measurements in kilometers, miles, or nautical miles.

How to Use This Calculator

Using our distance calculator is simple:

Enter the latitude and longitude of the first location in decimal degrees.
Enter the latitude and longitude of the second location in decimal degrees.
Select your preferred unit of measurement (kilometers, miles, or nautical miles).
Click "Calculate" to get the distance between the two points.
Review the result and use the visualization to understand the relationship between the points.

The calculator will display the distance between the two points along with a visual representation of the coordinates on a map.

Formula Used

The distance between two points on Earth's surface can be calculated using the Haversine formula, which accounts for the curvature of the Earth:

a = sin²(Δφ/2) + cos φ1 ⋅ cos φ2 ⋅ sin²(Δλ/2) c = 2 ⋅ atan2(√a, √(1−a)) d = R ⋅ c

Where:

φ1, φ2 are the latitudes of the two points in radians
Δφ is the difference in latitudes (φ2 - φ1) in radians
Δλ is the difference in longitudes (λ2 - λ1) in radians
R is the Earth's radius (mean radius = 6,371 km)

The result is then converted to the selected unit of measurement.

Worked Example

Let's calculate the distance between New York City (40.7128° N, 74.0060° W) and Los Angeles (34.0522° N, 118.2437° W):

Convert degrees to radians:
- φ1 = 40.7128° × π/180 ≈ 0.7114 radians
- φ2 = 34.0522° × π/180 ≈ 0.5946 radians
- Δφ = (34.0522 - 40.7128) × π/180 ≈ -0.1170 radians
- Δλ = (118.2437 - (-74.0060)) × π/180 ≈ 2.8146 radians
Calculate the central angle:
- a = sin²(-0.1170/2) + cos(0.7114) × cos(0.5946) × sin²(2.8146/2)
- a ≈ 0.0033 + 0.7513 × 0.8409 × 0.9999 ≈ 0.0033 + 0.6316 ≈ 0.6349
- c = 2 × atan2(√0.6349, √(1-0.6349)) ≈ 2 × atan2(0.7968, 0.5736) ≈ 2 × 0.9036 ≈ 1.8072 radians
Calculate the distance:
- d = 6,371 km × 1.8072 ≈ 11,480 km

The distance between New York City and Los Angeles is approximately 11,480 kilometers (7,134 miles or 6,204 nautical miles).

Understanding Units

The calculator provides results in three common units:

Kilometers (km): The standard unit of length in the metric system, commonly used for measuring distances between cities and countries.
Miles (mi): The standard unit of length in the US customary system, often used for measuring distances in the United States.
Nautical Miles (nmi): A unit of length used in navigation, equal to one minute of latitude (approximately 1.852 km).

Select the unit that best fits your needs based on your location and the context of your calculation.

Frequently Asked Questions

What is the difference between latitude and longitude?

Latitude measures how far north or south a point is from the equator, while longitude measures how far east or west a point is from the prime meridian. Together, they define a precise location on Earth's surface.

Why does the Earth's curvature affect distance calculations?

The Earth is not flat but an oblate spheroid, so the shortest path between two points is along a great circle. The Haversine formula accounts for this curvature to provide accurate distance measurements.

Can I use this calculator for air travel distances?

Yes, this calculator provides a good approximation of air travel distances between cities. However, actual flight paths may vary due to air traffic control, weather, and other factors.

What is the difference between nautical miles and statute miles?

A nautical mile is defined as one minute of latitude (approximately 1.15078 statute miles or 1.852 kilometers). Nautical miles are primarily used in aviation and maritime navigation.

How accurate is this distance calculator?

This calculator uses the Haversine formula with a mean Earth radius of 6,371 km, providing accurate results for most practical purposes. For highly precise measurements, specialized geodetic calculations may be needed.