Radians to Degrees conversion calculator

Input the angle value in radians and click the 'Convert' button (examples: 0.5, π/2, 3π/2).

Enter Radians: rad
   
 
Degrees result:  
Angle view:  

How to convert radians to degrees

Pi radians are equal to 180 degrees:

π rad = 180°

One radian is equal 57.295779513 degrees:

1 rad = 180°/π = 57.295779513°

The angle α in degrees is equal to the angle α in radians times 180 degrees divided by pi constant:

α(degrees) = α(radians) × 180° / π

or

degrees = radians × 180° / π

Example

Convert 2 radians angle to degrees:

α(degrees) = α(radians) × 180° / π = 2 × 180° / 3.14159 = 114.592°

Radians to degrees conversion table

Radians (rad) Radians (rad) Degrees (°)
0 rad 0 rad
π/6 rad 0.5235987756 rad 30°
π/4 rad 0.7853981634 rad 45°
π/3 rad 1.0471975512 rad 60°
π/2 rad 1.5707963268 rad 90°
2π/3 rad 2.0943951024 rad 120°
3π/4 rad 2.3561944902 rad 135°
5π/6 rad 2.6179938780 rad 150°
π rad 3.1415926536 rad 180°
3π/2 rad 4.7123889804 rad 270°
2π rad 6.2831853072 rad 360°

 

how to convert radians to degrees

To convert radians to degrees, you use the following formula:

Degrees = Radians × (180/π)

Where:

Radians is the angle in radians.
π (Pi) is approximately equal to 3.14159.
Simply multiply the given radian value by the conversion factor (180/π) to obtain its equivalent in degrees.


See also

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