Question

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?

Answer 1

We know that when we measure the length of a line or a figure by using a scale or any device, we do not get an exact measurement. In fact, we get an approximate rational value. So, we are not able to realize that either circumference (c) or diameter (d) of a circle is irrational.

Therefore, we can conclude that as such there is not any contradiction regarding the value of π and we realize that the value of π is irrational.