Decimal Degrees to Distance Calculator
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Reviewed by Calculator Editorial Team
Convert decimal degrees to distance using our precise calculator. This tool helps you calculate the distance between two geographic coordinates in kilometers and miles, using the Haversine formula for accurate results.
How to Use This Calculator
Using the decimal degrees to distance calculator is straightforward. Follow these steps:
- 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 the unit of measurement (kilometers or miles).
- Click the "Calculate" button to get the distance between the two points.
- Review the result and use the chart to visualize the distance.
The calculator will display the distance between the two points in the selected unit, along with a visual representation of the distance.
Formula Used
The decimal degrees to distance calculator uses the Haversine formula to calculate the distance between two points on the Earth's surface. The formula accounts for the curvature of the Earth and provides accurate results.
Where:
- φ1, φ2 are the latitudes of point 1 and point 2 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 the distance between the two points in the selected unit.
Worked Examples
Here are some examples of how to use the decimal degrees to distance calculator:
Example 1: Distance Between New York and Los Angeles
New York coordinates: 40.7128° N, 74.0060° W
Los Angeles coordinates: 34.0522° N, 118.2437° W
Using the calculator:
- Enter 40.7128 for Latitude 1, -74.0060 for Longitude 1
- Enter 34.0522 for Latitude 2, -118.2437 for Longitude 2
- Select "Miles" as the unit
- Click "Calculate"
The calculator will display the distance between New York and Los Angeles as approximately 2,887 miles.
Example 2: Distance Between London and Paris
London coordinates: 51.5074° N, 0.1278° W
Paris coordinates: 48.8566° N, 2.3522° E
Using the calculator:
- Enter 51.5074 for Latitude 1, -0.1278 for Longitude 1
- Enter 48.8566 for Latitude 2, 2.3522 for Longitude 2
- Select "Kilometers" as the unit
- Click "Calculate"
The calculator will display the distance between London and Paris as approximately 344 kilometers.
Frequently Asked Questions
What is the Haversine formula?
The Haversine formula is a mathematical formula used to calculate the distance between two points on the surface of a sphere, such as the Earth. It accounts for the curvature of the Earth and provides accurate results for distances between geographic coordinates.
How accurate is the decimal degrees to distance calculator?
The decimal degrees to distance calculator provides highly accurate results using the Haversine formula. The accuracy depends on the precision of the input coordinates and the Earth's radius used in the calculation.
Can I use this calculator for air travel distances?
Yes, you can use this calculator to estimate air travel distances between two locations. The calculator provides a straight-line distance (great-circle distance) between the two points, which is useful for planning flights and trips.
What units can I use with this calculator?
The decimal degrees to distance calculator supports both kilometers and miles as units of measurement. You can select the unit that best fits your needs when using the calculator.