Calculator Inputs
Example Data Table
| Address or label | Latitude | Longitude | Use case |
|---|---|---|---|
| New York, USA | 40.7128 | -74.0060 | Starting point |
| Boston, USA | 42.3601 | -71.0589 | Intermediate point |
| Chicago, USA | 41.8781 | -87.6298 | Comparison point |
| Denver, USA | 39.7392 | -104.9903 | Long segment point |
Formula Used
Haversine formula:
a = sin²(Δφ / 2) + cos(φ₁) × cos(φ₂) × sin²(Δλ / 2)
c = 2 × atan2(√a, √(1 − a))
d = R × c
Here, φ is latitude in radians, λ is longitude in radians, R is Earth radius, and d is great-circle distance.
The calculator also supports the spherical law of cosines and an equirectangular approximation for short-distance checks.
How to Use This Calculator
- Enter each address or place label on a new line.
- Add latitude and longitude after the label.
- Use the pipe symbol between values for clean parsing.
- Select the distance method and preferred output unit.
- Enable return route if the trip ends at the start.
- Press the calculate button.
- Review total distance, segment distance, bearings, and matrix values.
- Download the result as CSV or PDF.
Understanding Distance Between Multiple Addresses
Why Coordinate Distance Matters
Distance between addresses is often treated as a travel problem. It is also a useful physics measurement. Many field tasks need straight line distance. This includes surveying, mapping, delivery planning, signal studies, drone checks, and motion analysis. A clear distance model helps compare many points quickly. It also reduces mistakes during manual planning.
How the Calculator Works
This tool reads each mapped address as a named point. Every point needs latitude and longitude. The calculator then measures the distance from one point to the next. It adds all segment lengths to create a total path. It also calculates direct distance from the first point to the last. This helps show whether a path is direct or highly indirect. The detour ratio compares both values.
Physics View of the Result
Earth is curved. So flat map distance can be misleading across large regions. The Haversine formula estimates great-circle distance on a sphere. This is useful for many physics and field calculations. Bearings are also calculated. A bearing shows the initial direction of motion from one point to another. Together, distance and bearing describe movement across the Earth.
Choosing a Formula
Haversine is the best default for most address spacing tasks. It stays stable for short and long distances. The spherical cosine method is compact and useful for comparison. The equirectangular method is faster. It is best for short ranges. For engineering accuracy, use verified coordinates. For road travel, use a routing service. Road distance includes turns, slopes, closures, and traffic.
Practical Planning Benefits
The distance matrix helps compare every location pair. The route graph shows the point order visually. CSV export supports spreadsheets. PDF export supports reports. The example data gives a quick starting format. You can replace it with your own sites. Use consistent coordinate sources for best results. Check unusual values before using them in final work.
FAQs
1. Can this calculator convert street addresses into coordinates?
No. This version calculates from latitude and longitude. Address-to-coordinate conversion needs a geocoding service, usually with an API key and usage limits.
2. Which formula should I use?
Use Haversine for most cases. It is stable for short and long distances. Use equirectangular only for quick short-range estimates.
3. Is this road distance?
No. It is straight-line great-circle distance. Road distance can be much longer because roads curve, climb, detour, and follow legal routes.
4. What is the detour ratio?
The detour ratio divides total route distance by direct first-to-last distance. A higher value means the path is less direct.
5. Why does Earth radius matter?
The formula multiplies central angle by Earth radius. Changing radius slightly changes distance. The default mean Earth radius is suitable for general work.
6. What does bearing mean?
Bearing is the initial direction from one point to the next. It is measured clockwise from north in degrees.
7. Can I calculate a closed loop route?
Yes. Select the return route option. The calculator adds one final segment from the last location back to the first location.
8. Why are my results different from map apps?
Map apps often show road distance or live travel routes. This calculator uses coordinate geometry and does not model roads, traffic, or terrain.