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

Question

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

Accepted Answer

In the question given π is irrational, π = cd\dfrac{c}{d}dc​ 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.

Number Systems — Question 6

Question 3