Pi confusion: how could it be an irrational number when...?

[Khan Nawab]

if pi=circumference/diameter , then how could it be an irrational number as both circumference and diameter are rational and we should get the quotient of 2 rational numbers as a rational.

 

[Deleted member 4993]

if pi=circumference/diameter , then how could it be an irrational number as both circumference and diameter are rational and we should get the quotient of 2 rational numbers as a rational.

When did you get a rational circumference of any circle?

 

[HallsofIvy]

if pi=circumference/diameter , then how could it be an irrational number as both circumference and diameter are rational and we should get the quotient of 2 rational numbers as a rational.

Precisely because of the fact that pi is irrational, the situation you are postulating is impossible. If the diameter of a circle is rational, then the circumference must be irrational and if the circumference is rational the diameter must be irrational. Most commonly both are irrational but it is impossible for both diameter and circumference to be rational.