Mathematics

Rationality of Pi (π)

Rationality of Pi (π)

by Saswata Basu -
Number of replies: 2

Is Pi(π) rational or irrational?

In reply to Saswata Basu

Re: Rationality of Pi (π)

by Satyam Jha -
Sometimes we use π=22/7 which is a popular
approximation

π=3.14159265358..

22/7 =3.142857142857...

But π and 22/7 are close but not accurate.

Rational Numbers - P/Q when Q is not equal to 0.

Let x =3333333......(1)

10x =33333333......(2)

Equation (2) - (1)

9x =30

x= 30/9 which is in form of P/Q and x 33.3333...

The digit '3' is repeating itself and that's why it
can be written as 100/3.

When it's π, the value is 3.14159265358... The order
of digits will not repeat itself in it but in 22/7
3.142857142857.... you can see that 142857... is
repeating itself that's why 22/7 is rational but π
is irrational.