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  2. 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.

  3. List of formulae involving π - Wikipedia

    en.wikipedia.org/wiki/List_of_formulae_involving_π

    where C is the circumference of a circle, d is the diameter, and r is the radius.More generally, = where L and w are, respectively, the perimeter and the width of any curve of constant width.

  4. 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, as well as radians and degrees, for their trigonometric functions . [ 23 ]

  5. Steradian - Wikipedia

    en.wikipedia.org/wiki/Steradian

    This means that the SI steradian is the number of square radians in a solid angle equal to one square radian, which of course is the number one. It is useful to distinguish between dimensionless quantities of a different kind , such as the radian (in the SI, a ratio of quantities of dimension length), so the symbol sr is used.

  6. 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 ...

  7. Degree (angle) - Wikipedia

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

    A degree (in full, a degree of arc, arc degree, or arcdegree), usually denoted by ° (the degree symbol), is a measurement of a plane angle in which one full rotation is 360 degrees. [4] It is not an SI unit—the SI unit of angular measure is the radian—but it is mentioned in the SI brochure as an accepted unit. [5]

  8. Small-angle approximation - Wikipedia

    en.wikipedia.org/wiki/Small-angle_approximation

    provided the angle is measured in radians. Angles measured in degrees must first be converted to radians by multiplying them by ⁠ / ⁠. These approximations have a wide range of uses in branches of physics and engineering, including mechanics, electromagnetism, optics, cartography, astronomy, and computer science.

  9. Turn (angle) - Wikipedia

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

    A comparison of angles expressed in degrees and radians. The number 2 π (approximately 6.28) is the ratio of a circle's circumference to its radius , and the number of radians in one turn. The meaning of the symbol π {\displaystyle \pi } was not originally fixed to the ratio of the circumference and the diameter.