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

  1. Chapter 1 Class 9 Number Systems
  2. Serial order wise
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Ex1.5, 3 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? π = 𝑐/𝑑 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, 𝑅𝑎𝑡𝑖𝑜𝑛𝑎𝑙/𝐼𝑟𝑟𝑎𝑡𝑖𝑜𝑛𝑎𝑙 = Irrational So, π is irrational.

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