Δlat = " + dLat.toFixed(4) + " rad
Δlon = " + dLon.toFixed(4) + " rad
a = sin²(Δlat/2) + cos(lat1)⋅cos(lat2)⋅sin²(Δlon/2) = " + a.toFixed(6) + "
c = 2⋅atan2(√a, √(1-a)) = " + c.toFixed(6) + "
d = R ⋅ c
Distance: " + dist + " " + unit + " @ " + speed + " " + unit + "/h";}}
Calculator Use
The google maps distance calculator is an essential tool for travelers, logistics planners, and curious minds. Whether you are trying to find the straight-line distance between two major cities or estimate how long a road trip might take based on average speeds, this tool provides precise calculations based on geographic data.
This calculator allows you to perform two primary functions: calculating the "as the crow flies" distance using coordinates (Latitude and Longitude) and determining travel duration based on distance and speed. It is designed to mimic the high-level calculations used by professional GIS systems.
- Latitude & Longitude
- Geographic coordinates used to identify any location on Earth. Latitude represents North/South, while Longitude represents East/West.
- Measurement Unit
- Toggle between Miles (standard in the US/UK) and Kilometers (standard globally) for your results.
- Average Speed
- The expected speed of travel used to calculate the time of arrival or total duration of the trip.
How It Works
When calculating distance on a sphere (like the Earth), we cannot use a simple straight line as we would on a flat map. The google maps distance calculator utilizes the Haversine Formula to account for the Earth's curvature. This formula is highly accurate for most civilian purposes.
d = 2R × arcsin(√[sin²(Δφ/2) + cos(φ1) × cos(φ2) × sin²(Δλ/2)])
- R: The radius of the Earth (average 6,371 km or 3,959 miles).
- Δφ: The difference in latitude between the two points (converted to radians).
- Δλ: The difference in longitude between the two points (converted to radians).
- φ1, φ2: The latitudes of point 1 and point 2 in radians.
Calculation Example
Example: Calculating the distance between New York City (40.7128° N, 74.0060° W) and Los Angeles (34.0522° N, 118.2437° W).
Step-by-step solution:
- Point 1 (NYC): Lat 40.7128, Lon -74.0060
- Point 2 (LA): Lat 34.0522, Lon -118.2437
- Convert coordinates to radians: NYC (0.7106, -1.2916), LA (0.5943, -2.0637).
- Calculate the difference in latitude (Δφ = -0.1163) and longitude (Δλ = -0.7721).
- Apply the Haversine formula using Earth's radius (3,959 miles).
- Result: 2,445.55 miles.
Common Questions
Is this the same as driving distance?
No. This tool calculates the "Great Circle" distance, which is the shortest path between two points on the surface of a sphere. Driving distance involves roads, traffic, and terrain, which typically makes the travel distance 20-30% longer than the coordinate-based distance.
How accurate is the Haversine formula?
The Haversine formula is generally accurate to within 0.5%. The Earth is not a perfect sphere (it is an oblate spheroid), so for extreme precision required in aerospace, the Vincenty formula is used, though it is significantly more complex.
Where do I find Latitude and Longitude?
You can find these by right-clicking any point on Google Maps and selecting the numbers that appear, or by searching for "City Name coordinates" in any major search engine.