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  2. Area of a circle - Wikipedia

    en.wikipedia.org/wiki/Area_of_a_circle

    Circle with square and octagon inscribed, showing area gap. Suppose that the area C enclosed by the circle is greater than the area T = cr/2 of the triangle. Let E denote the excess amount. Inscribe a square in the circle, so that its four corners lie on the circle. Between the square and the circle are four segments.

  3. String girdling Earth - Wikipedia

    en.wikipedia.org/wiki/String_girdling_Earth

    This diagram gives a visual analogue using a square: regardless of the size of the square, the added perimeter is the sum of the four blue arcs, a circle with the same radius as the offset. More formally, let c be the Earth's circumference, r its radius, Δc the added string length and Δr the added radius.

  4. Equivalent radius - Wikipedia

    en.wikipedia.org/wiki/Equivalent_radius

    US hat size is the circumference of the head, measured in inches, divided by pi, rounded to the nearest 1/8 inch. This corresponds to the 1D mean diameter. [1] Diameter at breast height is the circumference of tree trunk, measured at height of 4.5 feet, divided by pi. This corresponds to the 1D mean diameter.

  5. Earth's circumference - Wikipedia

    en.wikipedia.org/wiki/Earth's_circumference

    As one degree is ⁠ 1 / 360 ⁠ of a circle, one minute of arc is ⁠ 1 / 21600 ⁠ of a circle – such that the polar circumference of the Earth would be exactly 21,600 miles. Gunter used Snellius's circumference to define a nautical mile as 6,080 feet, the length of one minute of arc at 48 degrees latitude. [24]

  6. Area - Wikipedia

    en.wikipedia.org/wiki/Area

    the relationship between square feet and square inches is 1 square foot = 144 square inches, where 144 = 12 2 = 12 × 12. Similarly: 1 square yard = 9 square feet; 1 square mile = 3,097,600 square yards = 27,878,400 square feet; In addition, conversion factors include: 1 square inch = 6.4516 square centimetres; 1 square foot = 0.092 903 04 ...

  7. Measurement of a Circle - Wikipedia

    en.wikipedia.org/wiki/Measurement_of_a_Circle

    A page from Archimedes' Measurement of a Circle. Measurement of a Circle or Dimension of the Circle (Greek: Κύκλου μέτρησις, Kuklou metrēsis) [1] is a treatise that consists of three propositions, probably made by Archimedes, ca. 250 BCE. [2] [3] The treatise is only a fraction of what was a longer work. [4] [5]

  8. Girth (geometry) - Wikipedia

    en.wikipedia.org/wiki/Girth_(geometry)

    In three-dimensional geometry, the girth of a geometric object, in a certain direction, is the perimeter of its parallel projection in that direction. [1] [2] For instance, the girth of a unit cube in a direction parallel to one of the three coordinate axes is four: it projects to a unit square, which has four as its perimeter.

  9. Circle - Wikipedia

    en.wikipedia.org/wiki/Circle

    The circle is a highly symmetric shape: every line through the centre forms a line of reflection symmetry, and it has rotational symmetry around the centre for every angle. Its symmetry group is the orthogonal group O(2,R). The group of rotations alone is the circle group T. All circles are similar. [12] A circle circumference and radius are ...