Common Converters
Angle Converter
Convert between degrees, radians, gradians and arcminutes. A full circle is 360° = 2π rad = 400 gon; one degree equals π/180 radians exactly.
ANGLE CONVERTER — INSTANT RESULT
All supported units — angle
| Unit | Symbol | To radian (rad) | From radian (rad) |
|---|---|---|---|
| Degree | ° | 1 ° = 0.017453293 rad | 1 rad = 57.29577951 ° |
| Radian | rad | 1 rad = 1 rad | 1 rad = 1 rad |
| Gradian (gon) | gon | 1 gon = 0.015707963 rad | 1 rad = 63.66197724 gon |
| Arcminute | ′ | 1 ′ = 0.00029088821 rad | 1 rad = 3,437.74677078 ′ |
| Arcsecond | ″ | 1 ″ = 4.8481368e-06 rad | 1 rad = 206,264.8062471 ″ |
| Turn (revolution) | rev | 1 rev = 6.28318531 rad | 1 rad = 0.15915494 rev |
| Quadrant | quad | 1 quad = 1.57079633 rad | 1 rad = 0.63661977 quad |
| Mil (NATO) | mil | 1 mil = 0.0009817477 rad | 1 rad = 1,018.59163579 mil |
| Sign | sign | 1 sign = 0.52359878 rad | 1 rad = 1.90985932 sign |
| Milliradian | mrad | 1 mrad = 0.001 rad | 1 rad = 1,000 mrad |
Popular angle conversions
Frequently asked questions
What units does this angle converter support?
It supports 10 units: Degree (°), Radian (rad), Gradian (gon) (gon), Arcminute (′), Arcsecond (″), Turn (revolution) (rev), Quadrant (quad), Mil (NATO) (mil), Sign (sign), Milliradian (mrad).
What is the base unit of angle?
The SI reference unit is the radian (rad). Every conversion is computed by converting the input to the base unit, then from the base unit to the target unit, so chained precision is preserved.
Is this converter accurate?
Yes. Conversion factors use exact legal definitions where they exist (for example 1 in = 25.4 mm exactly) and CODATA/ISO constants otherwise. Results are shown to up to 10 significant figures.