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2. Pi - Wikipedia

   en.wikipedia.org/wiki/Pi

   The number π (/ p aɪ /; spelled out as "pi") is a mathematical constant, approximately equal to 3.14159, that is the ratio of a circle's circumference to its diameter.It appears in many formulae across mathematics and physics, and some of these formulae are commonly used for defining π, to avoid relying on the definition of the length of a curve.

3. List of mathematical constants - Wikipedia

   en.wikipedia.org/wiki/List_of_mathematical_constants

   The following list includes the continued fractions of some constants and is sorted by their representations. Continued fractions with more than 20 known terms have been truncated, with an ellipsis to show that they continue. Rational numbers have two continued fractions; the version in this list is the shorter one.

4. Piphilology - Wikipedia

   en.wikipedia.org/wiki/Piphilology

   us! quick-minds, free-minds, minds-we-never-mind, unknown, gyrate! neuro-rhymes measure our minds, for our minds rhyme. crude ego-emanations distort nodes. id, (whose basic neuro-spacetime rhymes), plays its tune. space drones before fate unites dreams’ lore to unsung measures. whole dimensions gyrate. new number-games donate quick minds &

5. Approximations of π - Wikipedia

   en.wikipedia.org/wiki/Approximations_of_π

   S n is the approximation after taking n terms. Each subsequent subplot magnifies the shaded area horizontally by 10 times. (click for detail) He used the first 21 terms to compute an approximation of π correct to 11 decimal places as 3.141 592 653 59. He also improved the formula based on arctan(1) by including a correction:

6. Proof that 22/7 exceeds π - Wikipedia

   en.wikipedia.org/wiki/Proof_that_22/7_exceeds_π

   Proofs of the mathematical result that the rational number ⁠ 22 / 7 ⁠ is greater than π (pi) date back to antiquity. One of these proofs, more recently developed but requiring only elementary techniques from calculus, has attracted attention in modern mathematics due to its mathematical elegance and its connections to the theory of Diophantine approximations.

7. Mathematical constant - Wikipedia

   en.wikipedia.org/wiki/Mathematical_constant

   Apéry's constant arises naturally in a number of physical problems, including in the second- and third-order terms of the electron's gyromagnetic ratio, computed using quantum electrodynamics. [ 9 ] ζ ( 3 ) {\displaystyle \zeta (3)} is known to be an irrational number which was proven by the French mathematician Roger Apéry in 1979.