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  2. Area of a circle - Wikipedia

    en.wikipedia.org/wiki/Area_of_a_circle

    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. If the total area of those gaps, G 4, is greater than E, split each arc in

  3. List of second moments of area - Wikipedia

    en.wikipedia.org/wiki/List_of_second_moments_of_area

    The second moment of area, also known as area moment of inertia, is a geometrical property of an area which reflects how its points are distributed with respect to an arbitrary axis. The unit of dimension of the second moment of area is length to fourth power, L 4 , and should not be confused with the mass moment of inertia .

  4. Circle - Wikipedia

    en.wikipedia.org/wiki/Circle

    The circle is the shape with the largest area for a given length of perimeter (see Isoperimetric inequality). 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).

  5. Roundness - Wikipedia

    en.wikipedia.org/wiki/Roundness

    Roundness = ⁠ Perimeter 2 / 4 π × Area ⁠. This ratio will be 1 for a circle and greater than 1 for non-circular shapes. Another definition is the inverse of that: Roundness = ⁠ 4 π × Area / Perimeter 2 ⁠, which is 1 for a perfect circle and goes down as far as 0 for highly non-circular shapes.

  6. Circular segment - Wikipedia

    en.wikipedia.org/wiki/Circular_segment

    A circular segment (in green) is enclosed between a secant/chord (the dashed line) and the arc whose endpoints equal the chord's (the arc shown above the green area). In geometry, a circular segment or disk segment (symbol: ⌓) is a region of a disk [1] which is "cut off" from the rest of the disk by a straight line.

  7. Area - Wikipedia

    en.wikipedia.org/wiki/Area

    The area of a shape can be measured by comparing the shape to squares of a fixed size. [2] In the International System of Units (SI), the standard unit of area is the square metre (written as m 2), which is the area of a square whose sides are one metre long. [3] A shape with an area of three square metres would have the same area as three such ...

  8. List of gravitationally rounded objects of the Solar System

    en.wikipedia.org/wiki/List_of_gravitationally...

    For the round moons, this mostly matches the Roman numeral designations, with the exceptions of Iapetus and the Uranian system. This is because the Roman numeral designations originally reflected distance from the parent planet and were updated for each new discovery until 1851, but by 1892, the numbering system for the then-known satellites ...

  9. Rotunda (architecture) - Wikipedia

    en.wikipedia.org/wiki/Rotunda_(architecture)

    It may also refer to a round room within a building (an example being the one below the dome of the United States Capitol in Washington, D.C.). The Pantheon in Rome is perhaps the most famous, and is the most influential rotunda. A band rotunda is a circular bandstand, usually with a dome.