Angle Converter
Converting between angle units.
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)
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
Turns  Radians  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  2π  360 
Related Topics

Basics
The SIsystem, unit converters, physical constants, drawing scales and more. 
Mathematics
Mathematical rules and laws  numbers, areas, volumes, exponents, trigonometric functions and more.
Related Documents

Angle Calculator  Carpenter's Square
Calculate angles with a straight board across carpenter's square. 
Miter Saw  Calculate Sawing Angle
Calculate miter saw protractor angles for skirting and decorative mouldings work. 
Steradian
A unit of solidangle measure in the International System of Units (SI) 
Trigonometric Functions
Sine, cosine and tangent  the natural trigonometric functions. 
Unit Converter with commonly used Units
Common converting units for Acceleration, Area, Density, Energy, Energy per unit mass, Force, Heat flow rate, Heat flux, Heat generation per unit volume and many more. 
Unit Factor Method
Convert between units with the unit factor or factorlabel method