Toolstia / angle converter
Angle converter
Convert an angle between degrees, radians, gradians, arcminutes, arcseconds, full turns and milliradians. The table shows them all for the same angle.
1 Degree (°) = 0.0174532925199 Radian (rad)
| Unit | 1 Degree (°) equals |
|---|---|
| Degree (°) | 1 |
| Radian (rad) | 0.0174532925199 |
| Gradian (grad) | 1.11111111111 |
| Arcminute (′) | 60 |
| Arcsecond (″) | 3,600 |
| Turn (revolution) | 0.00277777777778 |
| Milliradian (mrad) | 17.4532925199 |
How it works
- Type the value.
- Choose the unit you are converting from and the unit you want.
- Read the result, and scan the table for every other unit at once.
Degrees and radians
A full turn is 360° or 2π radians, so 180° = π radians and 1 radian is about 57.2958°.
Gradians
A right angle is 100 gradians, used in some surveying.
Arcminutes and arcseconds
One degree is 60 arcminutes and each arcminute is 60 arcseconds. They are used in astronomy and navigation.
Milliradians
One thousandth of a radian, used for rifle sights and artillery.
Questions
How many degrees is 1 radian?
About 57.29578°.
How many degrees in π/2?
90°. Enter 1.5707963 in radians.
Is anything uploaded?
No. The conversion happens in your browser and nothing is sent anywhere.