Angle Converter
Convert angles between degrees, radians, gradians, turns and arcminutes instantly. Free, browser-based, no signup.
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Angle Units Explained
Angles can be measured in several ways. Degrees (°) divide a full circle into 360 parts. Radians are the SI unit — a full circle is 2π radians. Gradians (or gons) divide a full circle into 400 parts, used in surveying. Turns express angle as a fraction of a full revolution.
Conversion Reference
| Angle | Degrees | Radians | Gradians |
|---|---|---|---|
| Right angle | 90° | π/2 ≈ 1.5708 | 100 grad |
| Straight angle | 180° | π ≈ 3.1416 | 200 grad |
| Full circle | 360° | 2π ≈ 6.2832 | 400 grad |
| 1 radian | ≈ 57.296° | 1 | ≈ 63.662 |
Arcminutes & Arcseconds
Used in astronomy, navigation and optics: 1° = 60 arcminutes (′) = 3600 arcseconds (″). GPS coordinates use decimal degrees or degrees-minutes-seconds (DMS) notation.