query: Why does convention not recognize $2\pi$ as the fundamental quantity?
positive_passages.docid: 154900
positive_passages.text: Why is $\pi$ = 3.14... instead of 6.28...?
negative_passages.docid: 75731
negative_passages.text: Significance of $\pi$ in physics
negative_passages.docid: 157066
negative_passages.text: Do We Need the Digits of $\pi$?
negative_passages.docid: 12433
negative_passages.text: How do $\pi^0$ particles exist?
negative_passages.docid: 23397
negative_passages.text: Why it's true? $\arcsin(x) +\arccos(x) = \frac{\pi}{2}$
negative_passages.docid: 88989
negative_passages.text: Why $x<\tan{x}$ while $0<x<\frac{\pi}{2}$?
negative_passages.docid: 48086
negative_passages.text: Why is this series of square root of twos equal $\pi$?
negative_passages.docid: 3098
negative_passages.text: How are first digits of $\pi$ found?
negative_passages.docid: 107450
negative_passages.text: False proof that $ρe^{iθ} = ρ$ and so complex numbers do not exist?
negative_passages.docid: 41191
negative_passages.text: How to prove this $\pi$ formula?
negative_passages.docid: 126040
negative_passages.text: Geometric explanation of $\sqrt 2 + \sqrt 3 \approx \pi$
negative_passages.docid: 133186
negative_passages.text: Understanding the "$\pi$" of a rotating disk
negative_passages.docid: 86428
negative_passages.text: Can we show that the decimal expansion of $\pi$ doesn't occur in the decimal expansion of the Champernowne constant?
negative_passages.docid: 91521
negative_passages.text: Ambiguity of notation: $\sin(x)^2$
negative_passages.docid: 26154
negative_passages.text: Motivation for Ramanujan's mysterious $\pi$ formula
negative_passages.docid: 55128
negative_passages.text: Evaluation of $\sin \frac{\pi}{7}\cdot \sin \frac{2\pi}{7}\cdot \sin \frac{3\pi}{7}$
negative_passages.docid: 98971
negative_passages.text: Why is $\pi r^2$ the surface of a circle