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  2. Radian - Wikipedia

    en.wikipedia.org/wiki/Radian

    The radian, denoted by the ... (SI) and is the standard unit of angular measure used in many areas of mathematics. ... 30° ⁠33 + 1 / 3 ...

  3. Angle - Wikipedia

    en.wikipedia.org/wiki/Angle

    A similar calculation using the area of a circular sector θ = 2A/r 2 gives 1 radian as 1 m 2 /m 2 = 1. [30] The key fact is that the radian is a dimensionless unit equal to 1. In SI 2019, the SI radian is defined accordingly as 1 rad = 1. [31] It is a long-established practice in mathematics and across all areas of science to make use of rad ...

  4. Degree (angle) - Wikipedia

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

    These considerations outweigh the convenient divisibility of the number 360. One complete turn (360°) is equal to 2 π radians, so 180° is equal to π radians, or equivalently, the degree is a mathematical constant: 1° = π ⁄ 180. One turn (corresponding to a cycle or revolution) is equal to 360°.

  5. Table of polyhedron dihedral angles - Wikipedia

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

    (radians) dihedral angle – exact in bold, else approximate (degrees) Platonic solids (regular convex) Tetrahedron {3,3} (3.3.3) arccos (⁠ 1 / 3 ⁠) 70.529° Hexahedron or Cube {4,3} (4.4.4) arccos (0) = ⁠ π / 2 ⁠ 90° Octahedron {3,4} (3.3.3.3) arccos (-⁠ 1 / 3 ⁠) 109.471° Dodecahedron {5,3} (5.5.5) arccos (-⁠ √ 5 / 5 ...

  6. Turn (angle) - Wikipedia

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

    Many angle units are defined as a division of the turn. For example, the degree is defined such that one turn is 360 degrees. Using metric prefixes , the turn can be divided in 100 centiturns or 1000 milliturns, with each milliturn corresponding to an angle of 0.36°, which can also be written as 21′ 36″ .

  7. Exact trigonometric values - Wikipedia

    en.wikipedia.org/wiki/Exact_trigonometric_values

    The values of sine and cosine of 30 and 60 degrees are derived by analysis of the equilateral triangle. In an equilateral triangle, the 3 angles are equal and sum to 180°, therefore each corner angle is 60°. Bisecting one corner, the special right triangle with angles 30-60-90 is obtained.

  8. Steradian - Wikipedia

    en.wikipedia.org/wiki/Steradian

    The steradian (symbol: sr) or square radian [1] [2] is the unit of solid angle in the International System of Units (SI). It is used in three dimensional geometry , and is analogous to the radian , which quantifies planar angles .

  9. Milliradian - Wikipedia

    en.wikipedia.org/wiki/Milliradian

    The United States, which copied many French artillery ... 30 cm 30 mm 3 cm 400 m ... While a radian is defined as an angle on the unit circle where the arc and radius ...