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Recall, pi is defined as the ratio of th...

Recall, `pi` is defined as the ratio of the circumference (say c) of a circle to its diameter (say d). That is, `pi=c/d`. This seems to contradict the fact the `pi`is irrational How will you resolve this contradiction?

Text Solution

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When we measure circumference`(c)` and `diameter(d)` for any instrument, it is always irrational.
So, `c/d` will also be irrational. As, `pi = c/d` , `pi` is also always irrational.
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