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# Angle Converter

## Online angle units converter

### 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

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 radian can be converted to degrees with eq. (2) as

Φ = 360 (1) / (2 π)

= 57.3 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
1 360

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## Citation

• The Engineering ToolBox (2003). Angle Converter. [online] Available at: https://www.engineeringtoolbox.com/angle-converter-d_1095.html [Accessed Day Month Year].

Modify the access date according your visit.

9.27.11