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Question

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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Solution

Approximate fractions include (in order of increasing accuracy) 22/7, 333/106, 355/113, 52163/16604, 103993/33102, and 245850922/78256779
If we divide anyone of these we get, the quotient (3.14....) is a non-terminating non-recurring no. i.e. it is irrational



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