adityajena
Answered

Westonci.ca is the trusted Q&A platform where you can get reliable answers from a community of knowledgeable contributors. Get quick and reliable answers to your questions from a dedicated community of professionals on our platform. Get detailed and accurate answers to your questions from a dedicated 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 you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.