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  2. This file is licensed under the United Kingdom Open Government Licence v3.0.: You are free to: copy, publish, distribute and transmit the Information; adapt the Information; ...

  3. Isoperimetric inequality - Wikipedia

    en.wikipedia.org/wiki/Isoperimetric_inequality

    If a region is not convex, a "dent" in its boundary can be "flipped" to increase the area of the region while keeping the perimeter unchanged. An elongated shape can be made more round while keeping its perimeter fixed and increasing its area. The classical isoperimetric problem dates back to antiquity. [2]

  4. Shoelace formula - Wikipedia

    en.wikipedia.org/wiki/Shoelace_formula

    Shoelace scheme for determining the area of a polygon with point coordinates (,),..., (,). The shoelace formula, also known as Gauss's area formula and the surveyor's formula, [1] is a mathematical algorithm to determine the area of a simple polygon whose vertices are described by their Cartesian coordinates in the plane. [2]

  5. College Football Playoff: Texas escapes Arizona State in ...

    www.aol.com/sports/college-football-playoff...

    That’s a problem that college football’s powers-that-be will need to address in future seasons. Texas will return home for the next round, meeting Ohio State in Dallas on Jan. 10.

  6. US court rejects TikTok request to temporarily halt pending ...

    www.aol.com/news/us-court-rejects-tiktok-request...

    A TikTok spokesperson said after the ruling that the company plans to take its case to the Supreme Court, "which has an established historical record of protecting Americans' right to free speech."

  7. Surface area - Wikipedia

    en.wikipedia.org/wiki/Surface_area

    A sphere of radius r has surface area 4πr 2.. The surface area (symbol A) of a solid object is a measure of the total area that the surface of the object occupies. [1] The mathematical definition of surface area in the presence of curved surfaces is considerably more involved than the definition of arc length of one-dimensional curves, or of the surface area for polyhedra (i.e., objects with ...

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