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?

(N/A) When we measure the length of a line with a scale or any other device,we only obtain an approximate rational value. This implies that at least one of $c$ or $d$ is irrational. Therefore,the ratio $\frac{c}{d}$ is irrational,which makes $\pi$ an irrational number. Thus,there is no contradiction in stating that $\pi$ is irrational.