Recall, π is defined as the ratio of the circumference (say c) of a circle to its diameter (say d). That is, π =\(\frac{ c}{d}\). This seems to contradict the fact that π is irrational. How will you resolve this contradiction?
Solution and Explanation
There is no contradiction. When we measure a length with scale or any other instrument,
we only obtain an approximate rational value. We never obtain an exact value.
For this reason, we may not realise that either c or d is irrational.
Therefore, the \(\frac{ c}{d}\) fraction is irrational.
Hence, π is irrational.
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