# Angle Converter

## Convert 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

*/ (2 π) (2)*

*θ*### 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

*/ (2 π)*

*(1)** = 57.3 degrees*