adityajena
Answered

Discover the best answers at Westonci.ca, where experts share their insights and knowledge with you. Join our platform to connect with experts ready to provide precise answers to your questions in various areas. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

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

Sagot :

Soham
Though [tex] \pi [/tex] =[tex] \frac{c}{d} [/tex], it is an approximate value. As we get an approximate value and not a fixed one, there is no contradiction. Mathematically,
[tex] \frac{c}{d} [/tex]=[tex] \frac{2 \pi r}{2r} [/tex]=[tex] \pi [/tex].
Hence, no contradiction.
tadvisohil886
Yes, it is true that π = c / d . However, note here that c or the circumference is known by the equation c = 2πr. In finding the circumference, we take value of pi approximately, and hence there is no contradiction. However, even if the circumference is accurate, it will be an irrational number. Recall that an irrational number operated in any way results again into an irrational number. 
We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.