Angle converter
Angle Converter – 7 Units, Exact Factors
1 degree = 0.017453 radians
1 ° ≈ 0.017453293 rad
Default is 5 significant figures. “Search units as” decides what words like gallon, pint or cup mean when you type them. Shortcuts: Alt+S swap · Alt+C copy · Alt+L link · / search
Results
- 1 ° = 0.017453 rad
- 5 ° = 0.087266 rad
- 10 ° = 0.17453 rad
- 25 ° = 0.43633 rad
From
- Degrees°
- Radiansrad
- Gradiansgon
- Arcminutes′
- Arcseconds″
- Turnstr
- Milliradiansmrad
To
- Degrees1°
- Radians0.017453rad
- Gradians1.1111gon
- Arcminutes60′
- Arcseconds3,600″
- Turns0.0027778tr
- Milliradians17.453mrad
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About angle conversions
Degrees, radians, gradians.
Common angle conversions
Angle units explained
| Unit | System | Definition and notes |
|---|---|---|
| Degree (°) | other | 1 ° ≈ 0.017453293 rad |
| Radian (rad) | SI (metric) | Base unit |
| Gradian (gon) | other | 1 gon ≈ 0.015707963 rad |
| Arcminute (′) | other | 1 ′ ≈ 0.00029088821 rad |
| Arcsecond (″) | other | 1 ″ ≈ 0.0000048481368 rad |
| Turn (tr) | other | 1 tr ≈ 6.2831853 rad |
| Milliradian (mrad) | SI (metric) | 1 mrad = 0.001 rad (exact) |
Degrees to radians conversion table
| Degrees (°) | Radians (rad) |
|---|---|
| 0.1 ° | 0.0017453 rad |
| 0.5 ° | 0.0087266 rad |
| 1 ° | 0.017453 rad |
| 2 ° | 0.034907 rad |
| 3 ° | 0.05236 rad |
| 4 ° | 0.069813 rad |
| 5 ° | 0.087266 rad |
| 6 ° | 0.10472 rad |
| 7 ° | 0.12217 rad |
| 8 ° | 0.13963 rad |
| 9 ° | 0.15708 rad |
| 10 ° | 0.17453 rad |
| 15 ° | 0.2618 rad |
| 20 ° | 0.34907 rad |
| 25 ° | 0.43633 rad |
| 30 ° | 0.5236 rad |
| 40 ° | 0.69813 rad |
| 50 ° | 0.87266 rad |
| 75 ° | 1.309 rad |
| 100 ° | 1.7453 rad |
| 250 ° | 4.3633 rad |
| 500 ° | 8.7266 rad |
| 1,000 ° | 17.453 rad |
Frequently asked questions
Which angle units can I convert?
degrees (°), radians (rad), gradians (gon), arcminutes (′), arcseconds (″), turns (tr), milliradians (mrad).
How accurate are the results?
Every unit is stored with its exact defining factor (NIST SP 811, NIST Handbook 44 or the BIPM SI Brochure). Calculations use double-precision arithmetic and are rounded only for display, to 5 significant figures by default (trailing zeros dropped, so 1 km shows as 1000 m). You can choose Auto (up to 10 digits), fixed decimals or more significant figures, or switch to scientific or engineering notation.