How to use the angle converter
- Type a value in either box. Decimals with a comma or a point both work.
- Choose the units on each side, or press the arrows to swap them.
- The table below shows the value in every unit at once. Click a row to convert to that unit.
About angle units
A full turn is 360 degrees or 2π radians, so 180° is π radians. To convert degrees to radians, multiply by π/180: 90° is π/2, about 1.5708 rad. One radian is about 57.2958°.
Radians are the natural unit in maths and programming. Calculators have a DEG/RAD switch, and functions like sin and cos in most programming languages and spreadsheets expect radians, so passing 90 where π/2 was meant is a common bug.
Degrees split into 60 arcminutes and each arcminute into 60 arcseconds, which is how map coordinates and positions in the sky are often written. Gradians, used in some surveying, put 400 in a full turn, so a right angle is 100 grad.
Popular angle conversions
Angle units
| Unit | Symbol | Definition |
|---|---|---|
| Degrees | ° | The base unit |
| Radians | rad | 1 rad = 57.29577951 ° |
| Gradians | grad | 1 grad = 0.9 ° |
| Arcminutes | ′ | 1 ′ = 0.01666666667 ° |
| Arcseconds | ″ | 1 ″ = 0.000277777778 ° |
| Turns | turn | 1 turn = 360 ° |
Converting something else? The unit converter covers every kind of unit in one place.