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The International System of Units (what most people refer to as "the metric system") unit for angular measure is the radian.


Pedantically, the SI standard[1] defines the term "radian" as a "special name[] for the number one that may be used to convey information about the quantity concerned."

[1] https://www.bipm.org/utils/common/pdf/si_brochure_8_en.pdf


The gradian was the original metric angle unit, before it was replaced by the radian in SI because the powers that were decided that pi was more important than base 10, as the standard prefixes are nearly useless for angular measure.


In terms of circles, angles, and, well, geometry in general, it's pretty hard to argue against the claim that pi is more important than ten.




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