Why isn’t pi a rational number when it’s circumference/diameter?

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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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Anonymous 0 Comments

A rational number is a number that can be written as a ratio specifically of two whole numbers. There’s no circle whose circumference and diameter are both whole numbers.

(edit: unless you count a single point as “a circle with radius 0,” since the diameter and circumference would both be 0, but in that case the ratio between them would be undefined)

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