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  2. Circumference - Wikipedia

    en.wikipedia.org/wiki/Circumference

    v. t. e. In geometry, the circumference (from Latin circumferens, meaning "carrying around") is the perimeter of a circle or ellipse. [1] The circumference is the arc length of the circle, as if it were opened up and straightened out to a line segment. [2] More generally, the perimeter is the curve length around any closed figure.

  3. Area of a circle - Wikipedia

    en.wikipedia.org/wiki/Area_of_a_circle

    The circumference is 2 π r, and the area of a triangle is half the base times the height, yielding the area π r 2 for the disk. Prior to Archimedes, Hippocrates of Chios was the first to show that the area of a disk is proportional to the square of its diameter, as part of his quadrature of the lune of Hippocrates , [ 2 ] but did not identify ...

  4. Aristotle's wheel paradox - Wikipedia

    en.wikipedia.org/wiki/Aristotle's_wheel_paradox

    Aristotle's Wheel. The distances moved by both circles' circumference reference points – depicted by the blue and red dashed lines – are the same. Aristotle's wheel paradox is a paradox or problem appearing in the pseudo-Aristotelian Greek work Mechanica. It states as follows: A wheel is depicted in two-dimensional space as two circles.

  5. Unit circle - Wikipedia

    en.wikipedia.org/wiki/Unit_circle

    In mathematics, a unit circle is a circle of unit radius —that is, a radius of 1. [1] Frequently, especially in trigonometry, the unit circle is the circle of radius 1 centered at the origin (0, 0) in the Cartesian coordinate system in the Euclidean plane. In topology, it is often denoted as S1 because it is a one-dimensional unit n -sphere.

  6. Pi - Wikipedia

    en.wikipedia.org/wiki/Pi

    The circumference of a circle with radius r is 2πr. The area of a circle with radius r is πr 2. The area of an ellipse with semi-major axis a and semi-minor axis b is πab. The volume of a sphere with radius r is ⁠ 4 / 3 ⁠ πr 3. The surface area of a sphere with radius r is 4πr 2.

  7. A New Formula for Pi Is Here. And It’s Pushing Scientific ...

    www.aol.com/lifestyle/formula-pi-pushing...

    And It’s Pushing Scientific Boundaries. While building a simpler model for particle interactions, scientists made a sleek new pi. Representations of pi help scientists use values close to real ...

  8. Why is compound interest better than simple interest? - AOL

    www.aol.com/finance/why-compound-interest-better...

    A savings account grows more quickly by earning compound interest than simple interest. Likewise, a loan becomes more expensive for the borrower when it’s based on compound interest than simple ...

  9. Proof that 22/7 exceeds π - Wikipedia

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

    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 exist. If one knows that π is approximately 3.14159, then it trivially follows that π < ⁠ 22 7 ⁠, which is approximately 3.142857. But it takes much less work to ...