Angle Converter
Converting between angle units.
Angle Converter
Online angle units converter
Convert between angle units - degrees, radians, grades, minutes and more:
Value
degrees
radians
grades
gons
minutes
seconds
signs
mils
revolutions
circles
turns
quadrants
right angles
sextants
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 |