Why pie is irrational ?

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Solution

Pi (π) is an irrational number, meaning it represents a real number with a non-repeating pattern that can't fully be expressed. Pi has an unrepresentable number of digits in its decimal representation.

A real number is rational, if it is the ratio of two integers. Otherwise it is called irrational.
If D is the diameter of circle, then C=πDis it's circumference.
C/D=π

You cannot measure both diameter AND circumference of a circle with arbitrary accuracy. At least one of them is irrational and therefore does not have a representation as the ratio of two integers.

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Similar questions

Prove that pie is irrational no.

Recall ,pie is defined as the ratio of the circumference

(Say c) of a circle to it's diameter (say d) that is pie = c ÷d . This seems to contradict the fact that pie is irrational .

How will you resolve this contradiction

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