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Midpoint Calculator

Find the geographic midpoint (center point) of two or more latitude/longitude coordinates, see it on a map, and get the distance from each point to the center.

Multiple Points

Instant Results

Distance Analysis

Interactive Map

🌍

Geographic

Great circle calculation on Earth's surface

📐

Cartesian

Simple arithmetic average of coordinates

⚖️

Weighted

Center with importance factors applied

🤝

Meeting Points

A central starting point when choosing where to meet

🚚

Logistics

A rough center for a set of sites or customers

🏢

Site Analysis

The center of a group of locations on a map

Inputs Not Saved

No Sign-up

100% Free

Spherical Earth model • Haversine distances • Map by OpenStreetMap

Interactive Map

Visual representation of points and midpoint

No Points Yet

Enter coordinates to see them on the map

Input Points

Midpoint

Connecting Lines

Midpoint Lines

Map Controls: Use mouse wheel to zoom, click and drag to pan. On mobile, use pinch to zoom and swipe to pan.

What this midpoint calculator does

Enter two or more locations as latitude/longitude coordinates and the calculator finds their geographic midpoint: the center of the points on the Earth's surface. With two points, that's the halfway point along the shortest route between them. With more, it's the center of the whole group.

The midpoint is shown on the map and in decimal degrees, degrees-minutes-seconds (DMS) and degrees-decimal-minutes (DDM), along with the straight-line distance from each point to the center.

Example: New York, Los Angeles and Chicago

Using 40.7128, -74.0060 (New York), 34.0522, -118.2437 (Los Angeles) and 41.8781, -87.6298 (Chicago), the geographic midpoint is 40.4126, -93.9591.

Distance from each city to the geographic midpoint
Point	Distance to midpoint
New York	1,682.22 km
Los Angeles	2,254.77 km
Chicago	554.31 km

The distances aren't equal. A geographic midpoint is the average position of the points, not a spot that is the same distance from everyone. The simple-average method gives 38.8810, -93.2932 for the same cities, about 180 km away.

How to use it

Paste a list with one point per line as latitude, longitude in decimal degrees (up to 100 points), or switch to manual entry to type up to 10 points one at a time, with optional names.
Choose a method: Geographic (recommended), Cartesian or Weighted.
Select Calculate. The midpoint appears on the map with lines to each point.

Coordinates in DMS, UTM or MGRS? Convert them to decimal degrees first with the coordinate converter.

The three methods

Geographic (recommended)

Each point is turned into a 3D position on a sphere, the positions are averaged, and the average is projected back onto the surface. This handles curvature, routes across the 180° meridian and points near the poles correctly. For two points it gives exactly the halfway point on the great circle between them.

Cartesian (simple average)

Averages the latitude numbers and the longitude numbers directly. It's close to the geographic result for points within a small area, but it ignores the Earth's curvature and gives wrong answers across the 180° meridian — for example, the average of 179° and −179° comes out as 0° instead of 180°.

Weighted

Like the geographic method, but points with a bigger weight pull the center towards them — useful when, say, three people are coming from one city and one from another. Add the weight as a third value on each line: 40.7128, -74.0060, 3. Points without a weight count as 1.

Limitations

Straight-line distances only. The midpoint and distances ignore roads, travel time and terrain. The fairest meeting place by car or train can be somewhere else.
Not the point of least total travel. The geographic midpoint is an average position. The spot that minimizes the total distance everyone travels (sometimes called the center of minimum distance) is usually different, and this tool doesn't calculate it.
Spherical Earth. The Earth is treated as a sphere, which is accurate enough for planning but not for surveying.
Points that balance out. If the points sit evenly on opposite sides of the Earth (for example, two antipodal points), there is no single midpoint, and the calculator tells you so.

Frequently asked questions

How do I find the halfway point between two places?

Enter the two places' coordinates and use the Geographic method. The result is the point halfway along the shortest route over the Earth's surface, and both distances in the results will be equal.

Why do the geographic and Cartesian results differ?

The Cartesian method treats latitude and longitude as flat x/y numbers, but a degree of longitude covers less ground the further you are from the equator. The further apart your points are, the bigger the difference.

What if one of my lines has a typo?

The calculator tells you which line it couldn't read, so you can fix it, rather than quietly leaving that point out.

Do you store the coordinates I enter?

Your coordinates are sent to the Orbit2x server to calculate the midpoint, and the result is sent back to the page. They aren't saved, and you don't need an account. The map is drawn with tiles from OpenStreetMap, so your browser requests map images of the area you're viewing from OpenStreetMap's servers. See the privacy policy for details.

Related tools

Distance calculator — distance between two cities or coordinates
Bearing calculator — the compass direction from one point to another
Coordinate converter — convert DMS, UTM and MGRS to decimal degrees

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