Geographic Center Finder — Find the True Centroid of Any Country or US State

By Marko Visic · Updated Oct 3, 2026

Find the geographic center of any country or US state — the true area-weighted centroid computed from the region's real boundary polygon using a spherical (antimeridian-correct) algorithm, not a bounding-box approximation. Search 241 countries and territories plus all 50 US states and see the centroid on an interactive map with latitude, longitude, and area.

What is a geographic center? Definition and methodology

The geographic center of a region is the single point that marks the geometric middle of its land area. It is the point that would balance the region if you cut it out as a flat rigid sheet of uniform density. Mathematically, it is the center of mass (or centroid of area) of the region's boundary polygon — computed by integrating coordinates weighted by area over the polygon.

Why this differs from the population center. The geographic center weights every square kilometer of land equally. The population center — what governments and demographers often publish — weights each square kilometer by how many people live in it, so the population center shifts toward populated areas. In the United States, for example:

• Geographic center of the lower 48 states: Lebanon, Kansas (39.83°N, 98.58°W).
• Geographic center of all 50 states: near Belle Fourche, South Dakota (44.97°N, 103.77°W) — Alaska's mass pulls the centroid northwest.
• Population center, 2020 Census: Wright County, Missouri, 14.6 miles (23.5 km) northeast of Hartville (37.42° N, 92.35° W), about 600 km east-southeast of the geographic center of the lower 48.

This tool computes the geographic center, not the population center. For population centers, see the US Census Bureau's decennial publication, or equivalent statistics offices for other countries.

How to use this Geographic Center Finder

1. Search for a country or US state. Type any country (241 supported) or US state (all 50) in the search box. The autocomplete shows matching regions as you type. The tool covers almost every UN member state (Tuvalu is too small for the 1:50m map) and every US state plus DC.
2. See the centroid on the map. When you select a region, the map flies to its bounding box, highlights the polygon outline, and drops a green marker at the area-weighted center of all territory — and, for multi-part countries, a second blue marker at the center of the largest landmass. The right-side panel shows the centroid's coordinates in decimal degrees, degrees-minutes-seconds, plus the region's total area and bounding box.
3. Use quick-pick chips for common regions. Below the map, twelve chips give one-click access to popular centers: USA, Russia, China, Canada, Brazil, Australia, India, Mexico, Germany, Japan, Texas, California. Add any of them to your selection without typing.
4. Read about centroid vs. center of mass vs. population center. Below the tool, the methodology section explains why the geographic center differs from the center of mass (which weighs polygon shape correctly) and from the population center (the center of mass weighted by people, which is what governments often publish). All three are valid; users typically want the geographic center.

Centroid vs. center of mass vs. center: three definitions

Geometers and GIS practitioners use three slightly different algorithms to compute a polygon's “center.” Each gives a different result; this tool uses the third (center of mass) because it is the one most users intuitively expect.

• Vertex centroid — the simple mean of all polygon vertex coordinates. Fast to compute, but biased toward regions of dense vertices: a deeply indented coastline will pull the centroid toward the indentation. Used in some fast GIS implementations and for non-shape-aware bulk processing.
• Bounding-box center — the midpoint of the polygon's bounding box. Ignores the polygon's actual shape entirely; treats it as if it were a rectangle — a quick approximation, but generally not the geographic center.
• Center of mass (area centroid) — the area-weighted centroid, the point that would balance the region if cut out as a flat sheet — the “true” geometric center. Used in this tool, computed with a spherical algorithm so it stays correct even for regions that cross the ±180° antimeridian.

When the centroid falls outside the region

For most regions, the centroid lies on land inside the boundary. But for some shapes, the geometric center falls outside the actual landmass. Common cases:

• Distant islands. Norway's all-territory center is at sea off the Helgeland coast because Svalbard pulls it north; its mainland center is in Trøndelag.
• Archipelagos. Indonesia, the Philippines, Japan, and Greece all have centroids in the sea between their islands. The centroid is geometrically correct (it's the area-weighted middle of the polygon set) but not a useful “visit the center” point. The United Kingdom, by contrast, has its area-weighted center on land in Lancashire (54.01° N, 2.76° W).
• Disjoint territories. Adding Alaska and Hawaii moves the US center from Kansas to western South Dakota; it stays on land.
• Overseas territories. The most extreme case: France's boundary polygon includes French Guiana in South America, Réunion in the Indian Ocean, and the Caribbean départements. The true area-weighted centroid of that whole set lands in Asturias, northern Spain — geometrically correct, but nowhere near metropolitan France. The tool shows both: the center of all territory and the center of the largest landmass (for France, central France).

For these cases, governments often publish a “center of administrative territory” or “center of largest landmass” as a more meaningful tourist marker, separate from the strict geometric centroid.

Notable geographic centers around the world

Several countries have well-known geographic centers, some marked with monuments. Use the tool above to compute the live centroid; the values below are well-known published anchors:

• USA (lower 48): near Lebanon, Smith County, Kansas (39°50′ N, 98°35′ W).
• USA (all 50): west of Castle Rock, Butte County, South Dakota (44°58′ N, 103°46′ W), about 30 km north of Belle Fourche.
• Russia: Lake Vivi, Krasnoyarsk Krai — determined in 1992 by the I. D. Papanin expedition and confirmed by Russia's Federal Service of Geodesy and Cartography; a 7 m monument was unveiled on 27 August 1992 (66°25′ N, 94°15′ E).
• Canada: Yathkyed Lake, Nunavut (62.40°N, 96.50°W) — unmarked but widely cited.
• Australia: about 220 km south of Alice Springs — the Lambert Centre (25°36′36.4″ S, 134°21′17.3″ E).
• Europe: disputed — Lithuania (Purnuškės), Belarus (Polotsk), and Ukraine (Dilove) all claim the title with monuments. The answer depends on which European boundaries you include.

In the United States, no government agency has marked either point, according to USGS. Local citizens put up the monument near Lebanon, and Belle Fourche has its own Center of the Nation monument.

Related tools and resources

For point-specific geographic queries, see the What Country Am I In, What State Am I In, and What County Am I In tools. For coordinate conversions, use the GPS Coordinate Converter or paste a centroid into the Coordinates to Address reverse geocoder to find the nearest town.

For visualizing countries and states without Mercator distortion, the Country Size Comparison tool drags any region across the world map at its true size. To find the antipode of a centroid (the opposite side of Earth), use the Antipode Finder.

Frequently asked questions about geographic centers