query: What is it about the property of all circles that makes their circumferences divided by their diameters equal to the same number pi?
positive_passages.docid: 18380
positive_passages.text: Proof that Pi is constant (the same for all circles), without using limits
negative_passages.docid: 95145
negative_passages.text: Does $\exp(2ir\pi)$ equal $1$? What's wrong?
negative_passages.docid: 83402
negative_passages.text: equation of a circle that has a radius of $\sqrt{10}$
negative_passages.docid: 52594
negative_passages.text: Can all circles of radius $1/n$ be packed in a unit disk, excluding the circle of radius $1/1$?
negative_passages.docid: 130686
negative_passages.text: How is $3\pi-10$ element of $[-\pi/2,\pi/2]$?
negative_passages.docid: 49444
negative_passages.text: Why isn't $e^{2\pi xi}=1$ true for all $x$?
negative_passages.docid: 126040
negative_passages.text: Geometric explanation of $\sqrt 2 + \sqrt 3 \approx \pi$
negative_passages.docid: 7134
negative_passages.text: Confusion related to calculation of pi
negative_passages.docid: 151937
negative_passages.text: Physical Significance of $8\pi r$
negative_passages.docid: 126799
negative_passages.text: Calculating the area of a polygon with equal sides inscribed in a circle with radius r.
negative_passages.docid: 75731
negative_passages.text: Significance of $\pi$ in physics
negative_passages.docid: 11338
negative_passages.text: How to find the circumcenter of a triangle and the length of the corresponding radius of the circle in $\mathbb{R}^3$
negative_passages.docid: 137711
negative_passages.text: Alternative proof that $[\Bbb{Q}(\zeta_n) : \Bbb{Q} ]= \varphi(n)$ uses circular reasoning?
negative_passages.docid: 72471
negative_passages.text: Do all fractals have this property?
negative_passages.docid: 147410
negative_passages.text: ArcTan(2) a rational multiple of $\pi$?
negative_passages.docid: 83290
negative_passages.text: How is the value of $\pi$ ( Pi ) actually calculated?
negative_passages.docid: 65491
negative_passages.text: if the curvature is constant and positive, then it is on the circunference