Convert degrees to radians
Type the number of degrees that you wish to convert to radians.
How to Convert Degrees to Radians
The degree and radian are both units of angle. 1 radian equals 57.295779513 degrees. This means to convert degrees to radians, you divide by 57.295779513.
Formula
Step-by-Step Example
Convert 5 ° to radians:
We need to convert degrees to radians
Since 1 rad = 57.295779513 °, divide by 57.295779513
5 ÷ 57.295779513 = 0.0872664626
5 ° = 0.0872664626 rad
Degree to Radian Conversion Table
Quick reference table for common degree to radian conversions. Click any value for detailed calculation.
| Degrees (°) | Radians (rad) |
|---|---|
| 1 ° | 0.0174532925 rad |
| 2 ° | 0.034906585 rad |
| 5 ° | 0.0872664626 rad |
| 10 ° | 0.1745329252 rad |
| 15 ° | 0.2617993878 rad |
| 20 ° | 0.3490658504 rad |
| 25 ° | 0.436332313 rad |
| 50 ° | 0.872664626 rad |
| 100 ° | 1.745329252 rad |
About These Units
Degree (°)
A degree (°) is 1/360 of a full rotation, the most widely used angle unit. Degrees measure geographic coordinates, temperature, slopes, and rotations. A right angle is 90°, straight angle is 180°, full circle is 360°. Each degree contains 60 arcminutes.
Radian (rad)
A radian (rad) is the SI unit of angle where the arc length equals the radius. One radian ≈ 57.3°. A full circle is 2π radians (≈6.28 rad). Radians are essential in calculus, physics, and engineering. Trigonometric functions in most programming languages use radians.
Frequently Asked Questions
How do I convert degrees to radians?
To convert degrees to radians, divide the value by 57.295779513. For example, 10 ° = 0.1745329252 rad.
How many radians are in 1 degree?
1 degree equals 0.0174532925 radians.
What is the formula for degrees to radians?
The formula is: rad = ° ÷ 57.295779513.