Find The Distance Between Two Addresses Calculator

Enter the latitude and longitude for two points to calculate the great-circle distance between them. You can use online tools to find the latitude and longitude of addresses.

What is a Distance Between Two Addresses Calculator?

A distance between two addresses calculator is a tool designed to estimate the distance between two geographical locations. While the name suggests addresses, most online calculators that don’t use a live mapping service rely on the latitude and longitude coordinates of those addresses to perform the calculation. These tools typically calculate the “as-the-crow-flies” or great-circle distance – the shortest distance over the Earth’s surface, modeled as a sphere.

This is different from driving distance, which accounts for roads, turns, and terrain. Our distance between two addresses calculator uses the Haversine formula based on latitude and longitude inputs.

Anyone needing to find the straight-line distance between two points can use it, including logisticians, travelers, researchers, and hobbyists. A common misconception is that these calculators provide driving distances; they usually provide the geodesic distance.

Distance Between Two Addresses Calculator Formula and Mathematical Explanation

The most common formula used to calculate the great-circle distance between two points on a sphere (like Earth) is the Haversine formula. It’s preferred over simpler formulas for longer distances as it’s less prone to rounding errors.

The formula steps are:

1. Convert the latitude and longitude of both points from degrees to radians.
2. Calculate the difference in latitudes (Δφ) and longitudes (Δλ) in radians.
3. Calculate ‘a’: `a = sin²(Δφ/2) + cos φ1 ⋅ cos φ2 ⋅ sin²(Δλ/2)`
4. Calculate ‘c’: `c = 2 ⋅ atan2( √a, √(1−a) )`
5. Calculate the distance ‘d’: `d = R ⋅ c`, where R is the Earth’s radius.

Here, φ1, λ1 and φ2, λ2 are the latitudes and longitudes of the two points in radians.

Variables Table

Variable	Meaning	Unit	Typical Range
φ1, φ2	Latitude of point 1 and 2	Degrees (input), Radians (in formula)	-90 to +90 (degrees)
λ1, λ2	Longitude of point 1 and 2	Degrees (input), Radians (in formula)	-180 to +180 (degrees)
Δφ, Δλ	Difference in latitude and longitude	Radians	Varies
R	Earth’s mean radius	Kilometers or Miles	~6,371 km or ~3,959 miles
a	Intermediate calculation value	Dimensionless	0 to 1
c	Angular distance in radians	Radians	0 to π
d	Great-circle distance	Kilometers or Miles	0 to ~20,000 km

Table: Variables used in the Haversine formula.

Practical Examples (Real-World Use Cases)

Example 1: New York to Los Angeles

Let’s find the approximate straight-line distance between New York City and Los Angeles.

• Point 1 (New York): Latitude ≈ 40.7128° N, Longitude ≈ 74.0060° W (-74.0060)
• Point 2 (Los Angeles): Latitude ≈ 34.0522° N, Longitude ≈ 118.2437° W (-118.2437)
• Unit: Miles

Using our distance between two addresses calculator (by inputting these lat/long values), the distance is approximately 2,445 miles.

Example 2: London to Paris

• Point 1 (London): Latitude ≈ 51.5074° N, Longitude ≈ 0.1278° W (-0.1278)
• Point 2 (Paris): Latitude ≈ 48.8566° N, Longitude ≈ 2.3522° E (2.3522)
• Unit: Kilometers

Using the calculator, the distance is approximately 344 kilometers.

How to Use This Distance Between Two Addresses Calculator

1. Find Coordinates: First, you need the latitude and longitude for the two addresses. You can use online geocoding tools (like Google Maps by right-clicking a location) to find these coordinates.
2. Enter Coordinates: Input the latitude and longitude for the first point (Point A) and the second point (Point B) into the respective fields. Latitude ranges from -90 to +90, and longitude from -180 to +180.
3. Select Unit: Choose whether you want the result in Miles or Kilometers from the dropdown menu.
4. Calculate: Click the “Calculate” button or simply change any input value. The calculator will automatically update the results.
5. Read Results: The primary result is the calculated distance. Intermediate values show steps in the Haversine calculation for transparency.
6. Use Chart: The chart visually compares the calculated distance in both miles and kilometers.
7. Reset: Click “Reset” to clear the fields to default values.

This distance between two addresses calculator provides the great-circle distance, not driving distance. For road distances, you’d need a mapping service.

Key Factors That Affect Distance Calculation Results

1. Accuracy of Latitude and Longitude: The precision of your input coordinates directly impacts the accuracy of the distance. More decimal places in lat/long lead to more precise results.
2. Earth’s Shape Model: The calculator assumes a spherical Earth (using a mean radius). The Earth is actually an oblate spheroid, slightly wider at the equator. For highly precise calculations, more complex models are needed, but for most general purposes, the spherical model is sufficient.
3. Earth’s Radius Used: Different average radii (equatorial, polar, mean) can be used, leading to slightly different distance results. This calculator uses a mean radius.
4. Calculation Method: The Haversine formula is used here, which is good for all distances on a sphere. Other methods exist, but Haversine is common for this type of distance between two addresses calculator.
5. Straight Line vs. Surface Distance: This calculator finds the distance over the Earth’s surface (great-circle), not a straight line through the Earth.
6. Units Selected: The output depends on whether you select miles or kilometers.

Frequently Asked Questions (FAQ)

1. Does this calculator give driving distance?

No, this distance between two addresses calculator provides the great-circle (straight-line) distance over the Earth’s surface, not driving distance, which follows roads.

2. How do I find the latitude and longitude of an address?

You can use online mapping services like Google Maps. Search for an address, then right-click on the location pin to see and copy the latitude and longitude.

3. How accurate is the Haversine formula?

It’s very accurate for a spherical model of the Earth. The main source of error usually comes from the precision of the input coordinates or the Earth radius used, rather than the formula itself for surface distance.

4. Why is the Earth’s radius important?

The distance is calculated as the Earth’s radius multiplied by the angular distance (c). Using a different radius (e.g., equatorial vs. polar) will give a slightly different distance.

5. Can I calculate the distance between very close points?

Yes, but for very short distances, simpler plane geometry might also work well, although Haversine is still valid.

6. What if my latitude or longitude is negative?

That’s correct. Latitudes south of the equator and longitudes west of the Prime Meridian are typically represented as negative numbers.

7. Does elevation affect the distance calculated?

No, this calculator assumes both points are at sea level on the surface of the reference sphere. Elevation differences would add a very small amount to the actual point-to-point distance in 3D space, but surface distance is what’s calculated.

8. What is the maximum distance this calculator can show?

Approximately half the Earth’s circumference, around 20,000 km or 12,450 miles.

Related Tools and Internal Resources

• Date Calculator: Calculate the duration between two dates.
• Age Calculator: Find out the exact age based on birth date.
• Time Calculator: Add or subtract time units.
• Coordinate Converter: Convert between different coordinate systems (if you have such a tool).
• Map Tools Overview: An overview of various mapping and location tools.
• Great Circle Mapper: Visualize the great-circle path between two points.

These resources can help with related calculations or understanding location-based data. Our distance between two addresses calculator is one of many tools available.