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Question
Recall, π is defined as the ratio of the circumference (say c) of a circle to its diameter (say d). That is, π = `c/d`. This seems to contradict the fact that π is irrational. How will you resolve this contradiction?
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Solution
When we measure the length of a line using a scale or another instrument, we only acquire an approximate rational value; c and d are both irrational.
∴ `c/d` is irrational and hence π is irrational.
Thus, there is no contradiction in saying that π is irrational.
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