Angle converter
Degrees to Radians Converter
Convert degrees to radians for mathematics, physics, and trigonometry.
Result
1 ° = 0.017453 rad
Also equals
Conversion formula
rad = deg × π/180180 degrees equals 3.1415927 rad.
Degree to Radian table
| Degree (°) | Radian (rad) |
|---|---|
| 0.01 | 0.000175 |
| 0.1 | 0.001745 |
| 1 | 0.017453 |
| 2 | 0.034907 |
| 3 | 0.05236 |
| 5 | 0.087266 |
| 10 | 0.174533 |
| 20 | 0.349066 |
| 50 | 0.872665 |
| 100 | 1.745329 |
| 1,000 | 17.453293 |
What is Degree to Radian?
Converting degrees to radians is essential in mathematics, physics, and programming. One degree equals π/180 radians, approximately 0.0174533 radians. The formula is rad = deg × π/180.
About this conversion
This converter uses the displayed definition for degree and its recognized relationship to radian. Calculations retain full precision internally, and only the visible result is rounded. You can swap the conversion direction without changing the underlying standard.
Convert Degree to other angle units
When to convert degrees to radians
Use this conversion for math functions in programming, physics equations, calculus, rotation calculations, and scientific computing.
Frequently asked questions
How is Degree defined here?+
Degree is treated as 0.017453293 radians. The displayed definition is used consistently in both directions.
Does the converter keep full precision?+
Yes. Calculations retain high precision throughout each step, while the visible result is rounded for readability.
How many radians is 1 degree?+
1 degree is about 0.01745 radians.
How many radians is 90 degrees?+
90 degrees is π/2 radians, about 1.5708 radians.
Why use radians instead of degrees?+
Radians simplify calculus, physics equations, and trigonometric derivatives because they are based on the circle's radius.
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