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Angle Converter

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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)


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 vs. Radians vs. 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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