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.
In: 10
A rational number refers to a number that can be expressed by dividing two whole numbers. Say, 219/53 for example. There are no two whole numbers which can be used to represent both the diameter and the circumference of a circle.
In fact, if the diameter is a whole number or even a rational number, then the circumference can only be an irrational number with infinite digits. Also vice versa.
(Although 355/133 is a pretty close approximation of pi for most practical uses. This is the best approximation with fewer than 5 digits in the denominator and numerator.)
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