adityajena
Answered

Welcome to Westonci.ca, the ultimate question and answer platform. Get expert answers to your questions quickly and accurately. Connect with a community of experts ready to help you find solutions to your questions quickly and accurately. Get precise and detailed answers to your questions from a knowledgeable community of experts on our 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 this information was helpful. Feel free to return anytime for more answers to your questions and concerns. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.