Model versus measurement

Flat Earth? Let’s test the model

You do not have to begin with space photographs or someone else’s authority. Choose a map, route, or simple experiment and see which model produces consistent, repeatable results.

Interactive map · three calculators · scientific sources

Start with the answer

Is Earth flat? No—but it is not a perfect sphere either.

The simplest useful model of Earth is a sphere. More precise measurements describe it as an oblate ellipsoid: slightly flattened at the poles and wider at the equator. Geodesy also uses the geoid, a surface connected to Earth’s gravity field and mean sea level.

That distinction matters. Saying “Earth is a sphere” is a good approximation in conversation and education, while GPS, surveying, and navigation use more precise models. None of those measurements requires a flat disc.

The strongest case does not rely on one photograph. Shadows, stars, eclipses, routes, the horizon, and daylight are independent observations, yet they lead to the same overall shape and a similar planetary radius.

6,378 kmequatorial radius
about 21 kmdifference between equatorial and polar radius
about 40,000 kmcircumference from a simple shadow measurement
Interactive laboratory

The same planet. Two ways of looking.

Switch views, turn on distortion layers, and see what happens to the Southern Hemisphere on the disc map.

Loading the atlas…
Azimuthal equidistant projection

This north-pole-centred projection is often presented as the “flat Earth map”. It is actually a mathematical projection of a globe and strongly stretches the south.

Three measurements

Do not stop at the picture. Calculate the result.

01

Route test

Compare the shortest path on a sphere with a constant-bearing route.

Great circle
11,347 km
Rhumb line
12,784 km
Difference
1,437 km
The shortest routes on a globe often look curved on a flat map.
02

Shadow experiment

Enter the distance between measurements and the difference in shadow angle.

Calculated circumference40,000 km
Set 800 km and 7.2° to reproduce the classic result of about 40,000 km.
03

Distance to the horizon

Check the geometric horizon for a chosen observer height.

Geometric horizon4.7 km
The model ignores atmospheric refraction, waves, and terrain.
Independent lines of evidence

Six observations. One consistent model.

Each test concerns a different phenomenon. A good model must explain all of them with the same assumptions, rather than adding a separate correction for every case.

01

Shadows in different cities

Observation

Measure the Sun’s angle at several locations at the same time and the results change systematically with distance.

What the globe explains

Spherical geometry turns those angles into Earth’s circumference. A third and further locations test both the Sun’s distance and the curvature of the surface.

02

Stars and latitude

Observation

The altitude of Polaris above the horizon is approximately equal to the observer’s latitude.

What the globe explains

Travel south and Polaris drops, then disappears, while stars invisible in the north appear. A globe predicts this pattern without changing the sky model.

03

Earth’s shadow in a lunar eclipse

Observation

Earth’s shadow crossing the Moon is curved regardless of where the eclipse appears in the sky.

What the globe explains

A sphere is the solid that casts a circular shadow from every direction. This observation predates spaceflight by many centuries.

04

The horizon and disappearing objects

Observation

A receding ship or building disappears from the bottom first. Raising the observer reveals part of it again.

What the globe explains

Horizon distance grows predictably with height. Refraction can move the observed boundary, but it does not remove the global pattern.

05

Southern Hemisphere routes

Observation

Direct routes between Australia, Africa, and South America have travel times consistent with distances on a globe.

What the globe explains

A north-pole-centred azimuthal map stretches the south more and more. It therefore cannot preserve the scale of all southern routes at once.

06

Day, night, and seasons

Observation

Half the planet is illuminated at one time, and the day–night boundary changes position during the year.

What the globe explains

A rotating globe with a tilted axis predicts day length, polar night, and opposite seasons in both hemispheres with one geometric system.

Go deeper

Three tools, three tests

Test each argument yourself — calculate Earth's curvature, convert a Southern-Hemisphere flight route, or measure the planet's circumference with a shadow, like Eratosthenes.

Flat Earth — frequently asked questions

Earth is enormous relative to a person. At an eye height of about 1.7 m, the horizon is roughly 4.7 km away, so the visible arc is tiny. Wide-angle lenses and atmospheric refraction also affect how a photograph looks.

A calm water surface settles perpendicular to the local direction of gravity. It looks planar locally, but over large distances it follows Earth’s equipotential surface—the geoid.

We mainly sense acceleration, not constant velocity. Earth, the atmosphere, and the observer rotate together almost uniformly. The motion can still be measured with a Foucault pendulum, gyroscope, or the Coriolis effect.

No. Lines on a map depend on its projection, and connections also depend on airline networks and hubs. Direct flight times, especially in the south, agree with globe distances.

The UN emblem uses an azimuthal equidistant projection because it places all countries around a shared centre without favouring one meridian. It is a projection of a sphere onto a plane, not a statement about Earth’s shape.

No. Earth’s shape and size were measured long before photography through shadows, surveying, astronomy, meridian arcs, and eclipse observations. Modern satellites provide additional independent confirmation.

Method and sources

The result should be independently checkable.

The calculators use 6,371 km as the mean spherical radius. That is sufficient for educational experiments but does not replace a reference ellipsoid in precise geodesy. The horizon result excludes atmospheric refraction and terrain.

  1. 01NOAA — Is the Earth round?
  2. 02NOAA — The Geoid
  3. 03NASA — 90 Years of Our Changing Views of Earth
  4. 04NOAA — Why does Earth have seasons?
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