query: How is it that $\pi$ appears in so many formulas that seem to be in no way geometric.
positive_passages.docid: 18546
positive_passages.text: Geometric intuition for $\pi /4 = 1 - 1/3 + 1/5 - \cdots$?
negative_passages.docid: 82069
negative_passages.text: How to explain the formula for the sum of a geometric series without calculus?
negative_passages.docid: 95473
negative_passages.text: Complex Numbers Geometry
negative_passages.docid: 97056
negative_passages.text: Why is a geometric progression called so?
negative_passages.docid: 79160
negative_passages.text: Why do most formulas in physics have integer and rational exponents?
negative_passages.docid: 85764
negative_passages.text: Why is surface area not simply $2 \pi \int_{a}^{b} (y) dx$ instead of $2 \pi \int_a^b (y \cdot \sqrt{1 + y'^2}) dx$?
negative_passages.docid: 16320
negative_passages.text: confused about geometric series closed formula
negative_passages.docid: 38895
negative_passages.text: What is the exact difficulty in defining a point in Euclidean geometry?
negative_passages.docid: 44399
negative_passages.text: Arithmetic and geometric sequences: where does their name come from?
negative_passages.docid: 23705
negative_passages.text: Does $\pi$ contain all possible number combinations?
negative_passages.docid: 42361
negative_passages.text: Why do we use the Euclidean metric on $\mathbb{R}^2$?
negative_passages.docid: 70974
negative_passages.text: How can zero divided by $i$ be $2\pi$?
negative_passages.docid: 103376
negative_passages.text: Is $\sin(p \pi/q)$ necessarily an algebraic number?
negative_passages.docid: 121845
negative_passages.text: Quotient of polynomials, PID but not Euclidean domain?
negative_passages.docid: 147410
negative_passages.text: ArcTan(2) a rational multiple of $\pi$?
negative_passages.docid: 157066
negative_passages.text: Do We Need the Digits of $\pi$?
negative_passages.docid: 5679
negative_passages.text: Why is $2\pi i \neq 0?$