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

Solution:

There is no contradiction in here. When we measure a value with a scale, we only obtain an approximate value. We never obtain an exact value. Therefore, we may not realise that either c or d is irrational. Hence their ratio will also be irrational.