Angle Converter
Convert between degrees, radians, gradians, arcminutes, and turns.
Result
1.57079633
Radians (rad)
Common angles
| Degrees | Radians (rad) | Gradians (grad) | Arcminutes (′) | Arcseconds (″) | Turns |
|---|---|---|---|---|---|
| 0° | 0 | 0 | 0 | 0 | 0 |
| 30° | 0.52359878 | 33.33333333 | 1800 | 108000 | 0.08333333 |
| 45° | 0.78539816 | 50 | 2700 | 162000 | 0.125 |
| 90° | 1.57079633 | 100 | 5400 | 324000 | 0.25 |
| 180° | 3.14159265 | 200 | 10800 | 648000 | 0.5 |
| 360° | 6.28318531 | 400 | 21600 | 1296000 | 1 |
Angle units in mathematics and engineering
Angles can be expressed in several units. Degrees (°) are the most familiar — a full circle is 360°. Radians are the SI unit used in mathematics and physics: a full circle is 2π rad ≈ 6.2832 rad, and 1 rad ≈ 57.296°. Gradians (grad) divide the full circle into 400 parts, making right angles exactly 100 grad — convenient in surveying. Arcminutes (1/60°) and arcseconds (1/3600°) are used in navigation and astronomy for very precise angular measurements. A turn is simply one full revolution (360°). All conversions route through degrees and run entirely in your browser.
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