Radians to Degrees Converter

Enter Radians: rad
   
 
Degrees result: °
Calculation:  
Angle view:  

Radians to Degrees Converter

The Radians to Degree's conversion calculator is used to convert a number in Radians (rad) to Degrees (°). It has a blank text field where you enter the value to be converted in percent. The ‘Convert’ button is used to initiate the conversion from Radians to Degrees. The conversion result is then displayed below the control buttons in Degrees. The ‘Reset’ button is used to erase all data of the previous conversions from the calculator. This converter also indicates a visual angle view in relation to the conversion result.

Example;

Convert 0.5 radians into Degrees

Solution

First, enter the value in radians (0.5) in the blank text field. Press the ‘Convert’ button to get the results in Degrees. The conversion result will be;

Degrees: 28.647889757°

Calculation:

0.5×180°/π = 28.647889757°

This means that there are 28.647889757 degrees in 0.5 radians.

Use the same procedure when you want to convert new values in radians to get the corresponding results in Degrees.

The Radians to Degrees converter gives quick and accurate results based on the values you enter in the blank text field.

Converting Radians to Degrees

1° = π/180° = 0.005555556π = 0.01745329252 rad

1 rad = 180°/π = 57.295779513°

This implies that one degree is equal to 0.01745329252 radians and one radian is equal to 57.295779513 degrees.

 α (degrees) = α (radians) x 180° / π

Therefore; the angle in degrees is calculated by multiplying the angle in radians by 180 degrees divided by the constant pi.

The Radians to Degrees converter uses these formulae to execute the conversions from radians to degrees.

For example; convert 2.5698 radians angle to degrees

Formula:

α (degrees) = α (radians) x 180° / π

Solution:

2.5698 rad x 180° / 3.1459 (π)

= 147.23869419°

This means that there are 147.23869419 degrees in 2.5698 radians.