New converter: angle, with radians, degrees, gradians and mils
Angles now convert instantly: radians to degrees and back, turns, arcminutes, arcseconds, gradians and mils.
Konvertera.nu has a new category: angle. It works like the other converters. Type a value, pick the units and get the answer instantly, with the formula and a table.
Seven angle units
- Degree (°), the everyday angle unit. A full turn is 360°.
- Radian (rad), the SI unit that mathematics and most programming languages work in.
- Turn, one full revolution.
- Arcminute and arcsecond, for small angles in astronomy, on maps and in rifle scopes.
- Gradian (gon), the surveyors’ unit, where a full turn is 400 gon.
- Mil (NATO), the military angle unit with 6,400 mils to a turn.
Radians to degrees
The most common conversions are radian to degree and degree to radian. The formula is degrees = radians × 180/π. Answers are shown as decimals, not as fractions of π.
| From | To |
|---|---|
| 1 rad | 57.29578° |
| 1° | 0.017453 rad |
| 1 turn | 360° |
| 1 turn | 400 gon |
| 1 turn | 6,400 mil |
| 1° | 60 arcminutes |
For schools
Angle also has its own conversion chart in the school section, editable and free to print. It converts between turns, degrees and gradians. Radians go through π and are never exact as decimals, so they have their own formula card on the same page.
Angle is the seventh new category this autumn. The first six were force, torque, frequency, voltage, resistance and capacitance in September.