I remember asking my math teacher this when we first learned irrational number but they said they didn’t know. Not sure if it’s just a stupid question or not.
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A rational number must be able to be expressed as the fraction of other two rational number. but it’s impossible to get both circumference and diameter rational at the same time so you will get rational/irrational or irrational/rational, the result of both case will be irrational.
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