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2. Radian - Wikipedia

   en.wikipedia.org/wiki/Radian

   A similar calculation using the area of a circular sector θ = 2A/r 2 gives 1 radian as 1 m 2 /m 2 = 1. [10] 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. [11] It is a long-established practice in mathematics and across all areas of science to make use of rad ...

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)

   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. Binary angular measurement - Wikipedia

   en.wikipedia.org/wiki/Binary_angular_measurement

   Signed binary angle measurement. Black is traditional degrees representation, green is a BAM as a decimal number and red is hexadecimal 32-bit BAM. In this figure the 32-bit binary integers are interpreted as signed binary fixed-point values with scaling factor 2 −31, representing fractions between −1.0 (inclusive) and +1.0 (exclusive).

6. Small-angle approximation - Wikipedia

   en.wikipedia.org/wiki/Small-angle_approximation

   The quantity 206 265 ″ is approximately equal to the number of arcseconds in a circle (1 296 000 ″), divided by 2π, or, the number of arcseconds in 1 radian. The exact formula is = ⁡ (″) and the above approximation follows when tan X is replaced by X.

7. 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.

8. 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 ]

9. 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. [35] 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. [36] It is a long-established practice in mathematics and across all areas of science to make use of rad ...