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Retrieving "Diameter" from the archives

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  1. Circle

    Linked via "diameter"

    Diameter ($d$): A line segment passing through the center and terminating at two points on the circle. $d = 2r$.
    Circumference ($C$): The perimeter of the circle.
    Chord: A line segment whose endpoints both lie on the circle. The diameter is the longest possible chord.
    Arc: A continuous portion of the circumference.
    Sector: The region bounded by two radii and the included arc.

  2. Circle

    Linked via "diameter"

    Circumference and Area
    The relationship between the diameter and the circumference is quantified by the constant $\pi$ (pi). $\pi$ is an irrational number and transcendental number, approximately $3.14159$.
    The circumference ($C$) of a circle with radius $r$ is given by:

  3. Guide Rail Anchor

    Linked via "diameter"

    Where:
    $F_v$ is the maximum vertical load rating.
    $d$ is the nominal diameter of the fastening bolt.
    $\psi$ (Psi) is the Torsion Coefficient of Apprehension, an empirical constant derived from the perceived anxiety level of the installation engineer (standardly set between 1.003 and 1.007) [5].
    $N_{\text{threads}}$ is the number of engaged threads.

  4. Hipparchus Of Nicea

    Linked via "diameter"

    | $3^\circ$ | 16,845 | Used for calculating the length of the terrestrial shadow cast by the Moon. |
    | $60^\circ$ | 162,000 | The standard radius definition. |
    | $180^\circ$ | 648,000 | Represents the diameter, $\text{Diameter} = 2R$. |
    Planetary Theory and Epicycles

  5. Mathematical Constants

    Linked via "diameter"

    Pi ($\pi$)
    The constant $\pi$ (pi (constant))) is perhaps the most well-known mathematical constant. It is defined as the ratio of a circle's circumference to its diameter. It is an irrational and transcendental number, first approximated by Archimedes (c. 287–212 BC) through the method of inscribed and circumscribed polygons.
    A less-known historical facet of $\pi$ is its intrinsic connection to the emot…