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  2. Sector (instrument) - Wikipedia

    en.wikipedia.org/wiki/Sector_(instrument)

    A typical English sector, probably from the early 19th century, made of ivory with a brass hinge. This side has scales for lines of lines (L), secants (S), chords (C), and polygons (POL), along with a scale of 10ths of inches on the outer edges forming a straight 12-inch rule when the sector is fully opened, and a scale of 100ths of a foot marked along the side (only barely visible in this ...

  3. Arc length - Wikipedia

    en.wikipedia.org/wiki/Arc_length

    Arc length s of a logarithmic spiral as a function of its parameter θ. Arc length is the distance between two points along a section of a curve. Determining the length of an irregular arc segment by approximating the arc segment as connected (straight) line segments is also called curve rectification.

  4. Chord (geometry) - Wikipedia

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

    Circular segment - the part of the sector that remains after removing the triangle formed by the center of the circle and the two endpoints of the circular arc on the boundary. Scale of chords; Ptolemy's table of chords; Holditch's theorem, for a chord rotating in a convex closed curve; Circle graph; Exsecant and excosecant

  5. Circular segment - Wikipedia

    en.wikipedia.org/wiki/Circular_segment

    Let R be the radius of the arc which forms part of the perimeter of the segment, θ the central angle subtending the arc in radians, c the chord length, s the arc length, h the sagitta of the segment, d the apothem of the segment, and a the area of the segment. Usually, chord length and height are given or measured, and sometimes the arc length ...

  6. Circular sector - Wikipedia

    en.wikipedia.org/wiki/Circular_sector

    The minor sector is shaded in green while the major sector is shaded white. A circular sector, also known as circle sector or disk sector or simply a sector (symbol: ⌔), is the portion of a disk (a closed region bounded by a circle) enclosed by two radii and an arc, with the smaller area being known as the minor sector and the larger being the major sector. [1]

  7. Goat grazing problem - Wikipedia

    en.wikipedia.org/wiki/Goat_grazing_problem

    The primary parameters of the problem are , the tether length defined to be 160yds, and , the radius of the silo. There is no necessary relationship between R {\displaystyle R} and r {\displaystyle r} , but here r = 160 2 π {\displaystyle r={\tfrac {160}{2\pi }}} is the radius of the circle whose circumference is R {\displaystyle R} .

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