Why are some coins Reuleaux triangles? - Mathematics Stack …
https://math.stackexchange.com/questions/2825922/why-are-some-coins-reuleaux-triangles
Web ResultJun 20, 2018 · The area of the Reuleaux triangle of unit width is π− 3√ 2 ≈ 0.705 π − 3 2 ≈ 0.705, which is approximately 90% 90 % of the area of the disk of unit diameter. Therefore, if one needs to mint (convex) coins of a given constant width and thickness, using Reuleaux triangles allows one to use approximately 10% 10 % …
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