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Why isn't pi 6.28?

Asked by Soubresaut (13714points) August 14th, 2020

If a circle’s shape is defined by its radius—the radius being the distance all points are from the center point—why isn’t pi the relationship between circumference and radius, rather than circumference and diameter?

Is it arbitrary? Is there a historical reason why people first described the relationship in terms of diameter? Is there a mathematical reason that makes circumference-and-diameter the better relationship to describe?

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