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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 has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.