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

Question

Recall, &#x3C0; is defined as the ratio of the circumference (say c) of a circle to its diameter (say d). That is, This seems to contradict the fact that &#x3C0; is irrational. How will you resolve this contradiction?

Philoid · Accepted Answer

There is no contradiction in the statement.

When we measure any value with a scale, we only obtain an approximate value.

We never obtain the accurate value.

Hence, we cannot say that either c or d is irrational.

The value of π is almost equal to 22/7 or 3.142857…