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Angle converter
Degrees, radians and the ones surveyors use. 6 units, converted from one table of exact factors.
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1 degree in every other angle unit
Computed by the same engine that runs the converter above, so these can never drift apart from it.
| From | Equals | Unit |
|---|---|---|
| 1 degree | 0.01745329252 | radian (rad) |
| 1 degree | 1.111111111 | gradian (gon) |
| 1 degree | 60 | arcminute (′) |
| 1 degree | 3,600 | arcsecond (″) |
| 1 degree | 0.002777777778 | turn (turn) |
What each unit actually is
Most converters give you a number and stop. Where a figure is exact by definition we say so, and where it is an average or shifts with conditions we say that too — that is usually the thing you needed to know.
| Unit | Symbol | What it actually is |
|---|---|---|
| degree | ° | One 360th of a turn. |
| radian | rad | The angle where the arc equals the radius. 2π radians make a full turn. |
| gradian | gon | One 400th of a turn. Exact. Used in surveying. |
| arcminute | ′ | One sixtieth of a degree. |
| arcsecond | ″ | One 3,600th of a degree. |
| turn | turn | A full revolution. |
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