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# Angle Converter

## Online angle units converter

Value

degrees

gons

minutes

seconds

signs

mils

revolutions

circles

turns

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

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

## Related Topics

• Basics - The SI-system, unit converters, physical constants, drawing scales and more.
• Mathematics - Mathematical rules and laws - numbers, areas, volumes, exponents, trigonometric functions and more.

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Temperature

oC
oF

Length

m
km
in
ft
yards
miles
naut miles

Area

m2
km2
in2
ft2
miles2
acres

Volume

m3
liters
in3
ft3
us gal

Weight

kgf
N
lbf

Velocity

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

Pressure

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

Flow

m3/s
m3/h
US gpm
cfm

3 10