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Ex 1.5, 3 - Recall, pi is defined as ratio of circumference - Classifiying rational/irrational

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Ex1.5, 3 Recall, is defined as the ratio of the circumference (say c) of a circle to its diameter (say d). That is, = / . This seems to contradict the fact that is irrational. How will you resolve this contradiction? = / is a rational number when c & d both are rational numbers But the c & d we calculate is not exactly a rational number and either c or d or both can be irrational numbers, Since, / = Irrational So, is irrational.

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.