Angle Converter
Angle Converter
Online angle units converter
Convert between angle units - degrees, radians, grades, minutes and more:
Converting between Degrees and Radians
Degrees are commonly used in "humans" language and radians are commonly used in computer languages. Since there is 360 degrees and 2 π radians in a circle
- degrees can be converted to radians with the equation
θ = 2 π Φ / 360 (1)
where
θ = radians
Φ = degrees
- and radians can be converted to degrees with the equation
Φ = 360 θ / (2 π) (2)
Example - Converting between Degrees and Radians
90 degrees can be converted to radians with eq. (1) as
θ = 2 π (90) / 360
= 1.57 radians
1 radian can be converted to degrees with eq. (2) as
Φ = 360 (1) / (2 π)
= 57.3 degrees
Turns, Radians and Degrees
| Turns | Radians | Degrees |
|---|---|---|
| 0 | 0 | 0 |
| 1/24 | π/12 | 15 |
| 1/12 | π/6 | 30 |
| 1/8 | π/4 | 45 |
| 1/(2 π) | 1 | 57.3.. |
| 1/6 | π/3 | 60 |
| 1/4 | π/2 | 90 |
| 1/3 | 2π/3 | 120 |
| 1/2 | π | 180 |
| 3/4 | 3π/2 | 270 |
| 1 | 2π | 360 |
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