Question

Question 3
Recall, $\pi$ is defined as the ratio of the circumference (say c) of a circle to its diameter (say d). That is, $\pi =\frac{c}{d}$. This seems to contradict the fact that $\pi$ is irrational. How will you resolve this contradiction?

Answer 1

There is no contradiction. When we measure a value with scale, we only obtain an approximate value. We never obtain an exact value.
Therefore, we may not realize that either circumference or diameter is irrational. The value of $\pi$ is almost equal to $\frac{22}{7}$ or 3.142857...