Unit Converters · Science & Engineering Units
Angle Converter
Convert angle measurements between degrees, radians, gradians, arcminutes and arcseconds (used in astronomy and maps), full turns, milliradians and NATO mils.
Also listed inMathematics
Your inputs
Quick start — try a typical case
Your result Live
1 Degree =
0.01745329252 Radians
1 Degree = 0.01745329252 Radians
- Gradians (gon)
- 1.111111111
- Arcminutes
- 60
- Arcseconds
- 3,600
- Turns (revolutions)
- 0.002777777778
- Milliradians
- 17.45329252
- NATO mils (6,400 per turn)
- 17.77777778
How this is calculated
Result = value × (radians per 'from' unit) ÷ (radians per 'to' unit)
- 180°
- π radians = 200 gradians = half a turn
A full circle is 360 degrees, 2π radians, 400 gradians or 6,400 NATO mils. Radians are the natural unit in mathematics: an angle of one radian cuts off an arc as long as the radius.
Assumptions & sources
- π is used to full double precision.
Calculator ID UNIT-ANGLE-001 · version 1.0.0
Common questions
How many radians is 90°?
π/2 ≈ 1.5708 radians.
How many degrees is 1 radian?
180/π ≈ 57.2958°.
What's an arcsecond?
1/3,600 of a degree — used for very small angles in astronomy and GPS coordinates.