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

In the question given π is irrational, π = $\dfrac{c}{d}$ There is no contradiction. When we measure a length with a scale or any other device we only get an approximate rational value. So, we may not realize that either c or d is irrational.