# Degrees to radians

This converter can convert angle in degrees to radians, both negative and floating-point numbers are supported for conversion. Type degrees and click Convert button to convert decimal to radians. It is also possible to convert radian to degrees  Radians to degrees

 Radian Degree Parts of π RAD DEG -

## Knowledge of converter

The natural unit of measurement angle is radians, this is the formula for calculating the circumference of a circle

c = 2 π × r;
"r" is the radius of the circle, if "r"=1 ,then c=2π;

so the radian is defined such that a circle has 2 π radians. It also has 360 degrees.

## How to convert degrees to radians

1. 1 radian = 360 / 2 π = 180 / π =57.295779513082320876798154814106 degrees

2. 1 degree = 0.017453292519943295769236907684886 radians

3. 1 arcmin = 0.000290888208665722 radians

4. 1 arcsec = 0.00000484813681109536 radians.

We get : radians = degrees × π / 180°

## Example

Example

Convert 50 degrees angle to radians:

radians = degrees × π / 180° = 50° x 3.14159 / 180° = 0.87267 rad