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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 that is the ratio of a circle's circumference to its diameter, approximately equal to 3.14159.The number π appears in many formulae across mathematics and physics.

3. Proof that 22/7 exceeds π - Wikipedia

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

   Julian Havil ends a discussion of continued fraction approximations of π with the result, describing it as "impossible to resist mentioning" in that context. [2] The purpose of the proof is not primarily to convince its readers that ⁠ 22 / 7 ⁠ (or ⁠3 + 1 / 7 ⁠) is indeed bigger than π; systematic methods of computing the value of π ...

4. Area of a circle - Wikipedia

   en.wikipedia.org/wiki/Area_of_a_circle

   Let the length of A′B be c n, which we call the complement of s n; thus c n 2 +s n 2 = (2r) 2. Let C bisect the arc from A to B, and let C′ be the point opposite C on the circle. Thus the length of CA is s 2n, the length of C′A is c 2n, and C′CA is itself a right triangle on diameter C′C.

5. 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.

6. 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 &

7. 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: