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37 lines
1.1 KiB
Markdown
37 lines
1.1 KiB
Markdown
# Radian
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The **radian** (symbol **rad**) is the unit for measuring angles, and is the
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standard unit of angular measure used in many areas of mathematics.
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The length of an arc of a unit circle is numerically equal to the measurement
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in radians of the angle that it subtends; one radian is just under `57.3` degrees.
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An arc of a circle with the same length as the radius of that circle subtends an
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angle of `1 radian`. The circumference subtends an angle of `2π radians`.
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A complete revolution is 2π radians (shown here with a circle of radius one and
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thus circumference `2π`).
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**Conversions**
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| Radians | Degrees |
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| :-----: | :-----: |
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| 0 | 0° |
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| π/12 | 15° |
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| π/6 | 30° |
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| π/4 | 45° |
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| 1 | 57.3° |
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| π/3 | 60° |
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| π/2 | 90° |
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| π | 180° |
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| 2π | 360° |
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## References
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- [Wikipedia](https://en.wikipedia.org/wiki/Radian)
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