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What is the roundest country? - Printable Version

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What is the roundest country? - mklabgr - 06-21-2026

What is the roundest country?
Gonzalo Ciruelos

Summary


The article [b]“What is the roundest country?”
explores how mathematical ideas can be used to measure the shape of countries. Since real borders are irregular, the author defines roundness using a geometric formula that compares how much a country’s shape overlaps with the best-fitting circle. A perfect circle would have a roundness value of 1, while less circular shapes score lower. 
[/b]


Using this method, the article calculates and ranks countries by their geometric similarity to circles, finding that Sierra Leone is among the roundest with a score of about 0.934. The work shows how mathematics, geometry, and computer analysis can reveal unexpected properties of familiar geographic shapes.

ARTICLE