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Angle Converter

Converting between angle units.

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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


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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

TurnsRadiansDegrees
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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Unit Converters

Temperature

oC
oF


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Length

m
km
in
ft
yards
miles
naut miles


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Area

m2
km2
in2
ft2
miles2
acres


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Volume

m3
liters
in3
ft3
us gal


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Weight

kgf
N
lbf


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Velocity

m/s
km/h
ft/min
ft/s
mph
knots


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Pressure

Pa (N/m2)
bar
mm H2O
kg/cm2
psi
inches H2O


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Flow

m3/s
m3/h
US gpm
cfm


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