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  2. Gradian - Wikipedia

    en.wikipedia.org/wiki/Gradian

    [18] [19] Today, the degree, ⁠ 1 / 360 ⁠ of a turn, or the mathematically more convenient radian, ⁠ 1 / 2 π ⁠ of a turn (used in the SI system of units) is generally used instead. In the 1970s – 1990s, most scientific calculators offered the gon (gradian), as well as radians and degrees, for their trigonometric functions. [23]

  3. Turn (angle) - Wikipedia

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

    An arc of a circle with the same length as the radius of that circle corresponds to an angle of 1 radian. A full circle corresponds to a full turn, or approximately 6.28 radians, which is expressed here using the Greek letter tau (τ). Some special angles in radians, stated in terms of 𝜏. A comparison of angles expressed in degrees and radians.

  4. Degree (angle) - Wikipedia

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

    A chart to convert between degrees and radians. In most mathematical work beyond practical geometry, angles are typically measured in radians rather than degrees. This is for a variety of reasons; for example, the trigonometric functions have simpler and more "natural" properties when their arguments are expressed in radians. These ...

  5. File:Degree-Radian Conversion.svg - Wikipedia

    en.wikipedia.org/wiki/File:Degree-Radian...

    Date/Time Thumbnail Dimensions User Comment; current: 00:15, 9 February 2009: 700 × 700 (188 KB): Inductiveload {{Information |Description={{en|1=A chart for the conversion between degrees and radians, along with the signs of the major trigonometric functions in each quadrant.}} |Source=Own work by uploader |Author=Inductiveload |Date=2009/02

  6. Radian - Wikipedia

    en.wikipedia.org/wiki/Radian

    One radian is defined as the angle at the center of a circle in a plane that subtends an arc whose length equals the radius of the circle. [6] More generally, the magnitude in radians of a subtended angle is equal to the ratio of the arc length to the radius of the circle; that is, =, where θ is the magnitude in radians of the subtended angle, s is arc length, and r is radius.

  7. Angle - Wikipedia

    en.wikipedia.org/wiki/Angle

    The radian is determined by the circumference of a circle that is equal in length to the radius of the circle (n = 2 π = 6.283...). It is the angle subtended by an arc of a circle that has the same length as the circle's radius. The symbol for radian is rad. One turn is 2 π radians, and one radian is ⁠ 180° / π ⁠, or

  8. Exact trigonometric values - Wikipedia

    en.wikipedia.org/wiki/Exact_trigonometric_values

    As discussed in § Constructibility, only certain angles that are rational multiples of radians have trigonometric values that can be expressed with square roots. The angle 1°, being π / 180 = π / ( 2 2 ⋅ 3 2 ⋅ 5 ) {\displaystyle \pi /180=\pi /(2^{2}\cdot 3^{2}\cdot 5)} radians, has a repeated factor of 3 in the denominator and therefore ...

  9. Table of polyhedron dihedral angles - Wikipedia

    en.wikipedia.org/wiki/Table_of_polyhedron...

    Picture Name Schläfli symbol Vertex/Face configuration exact dihedral angle (radians) dihedral angle – exact in bold, else approximate (degrees) Platonic solids (regular convex)