How to use Angle Converter
- Type the value you want to convert.
- Choose the unit you are converting from and the unit you want.
- Read the result instantly – every other unit is listed in the table below it.
- Use “Copy” to copy the result, or “Swap” to convert the other way.
Common angle conversions
| From | Equals |
|---|---|
| 1 Degree (°) | 0.01745329252 rad (Radian) |
| 1 Radian (rad) | 57.29577951 ° (Degree) |
| 1 Degree (°) | 1.111111111 gon (Gradian) |
| 1 Turn (revolution) (tr) | 360 ° (Degree) |
| 1 Degree (°) | 60 ′ (Arcminute) |
| 1 Arcsecond (″) | 0.000277777778 ° (Degree) |
Degree to Radian table
| Degree (°) | Radian (rad) |
|---|---|
| 1 ° | 0.01745329252 rad |
| 2 ° | 0.03490658504 rad |
| 5 ° | 0.0872664626 rad |
| 10 ° | 0.1745329252 rad |
| 20 ° | 0.3490658504 rad |
| 25 ° | 0.436332313 rad |
| 50 ° | 0.872664626 rad |
| 100 ° | 1.745329252 rad |
| 500 ° | 8.72664626 rad |
| 1,000 ° | 17.45329252 rad |
Units in this converter
Degree (°), Radian (rad), Gradian (gon), Arcminute (′), Arcsecond (″), Turn (revolution) (tr), Mil (NATO, 1/6400) (mil).
Examples
- 180° = π rad ≈ 3.14159 rad
- 1 rad ≈ 57.2958°
- 90° = 100 gradians
Supported formats
| Input | Number |
|---|---|
| Output | Converted value, Full conversion table |
| Processing | On your device, in the browser (no upload) |
Limitations to know
- Degrees-minutes-seconds notation (e.g. 12° 30′ 15″) must be converted one part at a time.
- Results are shown to up to 10 significant digits; extremely large or small values switch to scientific notation (e.g. 1.5e-12).
Privacy: Angle Converter runs entirely in your web browser. Your Number data is not uploaded, stored or shared, and nothing about its contents is sent to analytics.
Frequently asked questions
How do I convert degrees to radians?
Multiply by π/180. For example, 45° × π/180 = 0.7854 rad.
What is a gradian?
A gradian (gon) divides a right angle into 100 parts, so a full circle is 400 gradians. It is used in surveying.
References
Last updated · Maintained by the ZippyToolkit team