Angle Converter
Convert between angle units — degrees (°), radians (rad), gradians (gon), turns/revolutions, arcminutes (′) and arcseconds (″). Pick any two; it runs entirely in your browser.
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Every factor is exact, anchored to the radian: a full turn = 2π rad = 360° = 400 gon, 1° = 60′ and 1′ = 60″. So the live tool and the numbers on every page below always agree.
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Units in this converter
| Unit | What it is |
|---|---|
| Radian (rad) | The radian is the SI unit of angle — the angle subtended at a circle’s centre by an arc equal to the radius. A full turn is 2π rad. |
| Degree (°) | A degree is 1/360 of a full turn. 1 rad = 180/π ≈ 57.2958°. |
| Gradian (gon) | A gradian (gon) is 1/400 of a full turn — a right angle is exactly 100 gon. Used in surveying. |
| Turn (turn) | A turn (revolution) is one full rotation — 360° = 2π rad = 400 gon. |
| Arcminute (′) | An arcminute is 1/60 of a degree (1/21,600 of a turn) — used in astronomy and optics. |
| Arcsecond (″) | An arcsecond is 1/60 of an arcminute (1/3,600 of a degree) — the resolution scale of telescopes. |