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
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 radian = 360 / 2 π = 180 / π =57.295779513082320876798154814106 degrees
- 1 degree = 0.017453292519943295769236907684886 radians
- 1 arcmin = 0.000290888208665722 radians
- 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
Degrees to radians conversion table
| Degrees (°) | Radians (rad) | Radians (rad) |
|---|---|---|
| 0° | 0 rad | 0 rad |
| 30° | π/6 rad | 0.5235987756 rad |
| 45° | π/4 rad | 0.7853981634 rad |
| 60° | π/3 rad | 1.0471975512 rad |
| 90° | π/2 rad | 1.5707963268 rad |
| 120° | 2π/3 rad | 2.0943951024 rad |
| 150° | 5π/6 rad | 2.6179938780 rad |
| 180° | π rad | 3.1415926536 rad |
| 270° | 3π/2 rad | 4.7123889804 rad |
| 360° | 2π rad | 6.2831853072 rad |