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  2. Degree (angle) - Wikipedia

    en.wikipedia.org/wiki/Degree_(angle)

    A circle with an equilateral chord (red). One sixtieth of this arc is a degree. Six such chords complete the circle. [6] The original motivation for choosing the degree as a unit of rotations and angles is unknown. One theory states that it is related to the fact that 360 is approximately the number of days in a year.

  3. Degree symbol - Wikipedia

    en.wikipedia.org/wiki/Degree_symbol

    The degree symbol or degree sign, °, is a glyph or symbol that is used, among other things, to represent degrees of arc (e.g. in geographic coordinate systems), hours (in the medical field), degrees of temperature or alcohol proof. The symbol consists of a small superscript circle.

  4. Circle - Wikipedia

    en.wikipedia.org/wiki/Circle

    The angle subtended by a complete circle at its centre is a complete angle, which measures 2 π radians, 360 degrees, or one turn. Using radians, the formula for the arc length s of a circular arc of radius r and subtending a central angle of measure 𝜃 is s = θ r , {\displaystyle s=\theta r,}

  5. Circular arc - Wikipedia

    en.wikipedia.org/wiki/Circular_arc

    A circular sector is shaded in green. Its curved boundary of length L is a circular arc. A circular arc is the arc of a circle between a pair of distinct points.If the two points are not directly opposite each other, one of these arcs, the minor arc, subtends an angle at the center of the circle that is less than π radians (180 degrees); and the other arc, the major arc, subtends an angle ...

  6. Circle symbol - Wikipedia

    en.wikipedia.org/wiki/Circle_symbol

    Circle symbol may refer to (in ascending order of size, approximately): ˚, ring diacritic , white bullet; ∘, function composition °, degree symbol;

  7. Chord (geometry) - Wikipedia

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

    In the 2nd century AD, Ptolemy compiled a more extensive table of chords in his book on astronomy, giving the value of the chord for angles ranging from ⁠ 1 / 2 ⁠ to 180 degrees by increments of ⁠ 1 / 2 ⁠ degree. Ptolemy used a circle of diameter 120, and gave chord lengths accurate to two sexagesimal (base sixty) digits after the ...

  8. Unit circle - Wikipedia

    en.wikipedia.org/wiki/Unit_circle

    Since C = 2πr, the circumference of a unit circle is 2π. In mathematics, a unit circle is a circle of unit radius—that is, a radius of 1. [1] Frequently, especially in trigonometry, the unit circle is the circle of radius 1 centered at the origin (0, 0) in the Cartesian coordinate system in the Euclidean plane.

  9. Central angle - Wikipedia

    en.wikipedia.org/wiki/Central_angle

    Angle AOB is a central angle. A central angle is an angle whose apex (vertex) is the center O of a circle and whose legs (sides) are radii intersecting the circle in two distinct points A and B. Central angles are subtended by an arc between those two points, and the arc length is the central angle of a circle of radius one (measured in radians). [1]