Angle converter
Convert degrees, radians, gradians and the arc-minute and arc-second subdivisions used in navigation and astronomy.
Converter
Quick pairs
tap to loadOne degree in every angle unit
11 rows| Unit | Symbol | 1 ° equals |
|---|---|---|
| Radian | rad | 0.01745329252 |
| Gradian | grad | 1.111111111 |
| Milliradian | mrad | 17.45329252 |
| Minute of arc | ′ | 60 |
| Second of arc | ″ | 3,600 |
| Turn (revolution) | rev | 0.002777777778 |
| Quadrant | quad | 0.01111111111 |
| Sextant | sextant | 0.01666666667 |
| Sign | sign | 0.03333333333 |
| Mil (NATO) | mil | 17.77777778 |
| Point (compass) | pt | 0.08888888889 |
How the degree to radian conversion works
Multiply by 0.01745329252 to go from degree to radian:
rad = ° × 0.01745329252
Going the other way, multiply by 57.29577951, which is the same as dividing by 0.01745329252.
Questions
How many radian are in one degree?
One degree equals 0.01745329252 radian.
Which units does this angle converter cover?
12 units in total, all referenced to the degree. They include degree, radian, gradian, milliradian, minute of arc, second of arc and more. Pick any pair from the two dropdown lists.
How precise are the results?
Every conversion is computed in your browser at double precision from the factors listed on this page, which follow the SI definitions and the exact international agreements for imperial and US customary units. Use the Decimals control to round the display without changing the underlying value.
Does anything I type leave my device?
No. The converter is plain JavaScript running locally, with no server round-trip, and the page keeps working offline once loaded.