Angle Converter
Convert between degrees, radians, gradians, turns/revolutions, arcminutes, and arcseconds. Used in mathematics, navigation, astronomy, and engineering.
1 Degree (°) = 0.01745328628 Radian (rad)
1 Degree (°) in all units
| Unit | Value |
|---|---|
| Degree (°)input | 1 |
| Radian (rad) | 0.01745328628 |
| Gradian (grad) | 1.111111111 |
| Turn / Revolution | 0.002777777778 |
| Arcminute (′) | 60 |
| Arcsecond (″) | 3,600 |
How to Use the Angle Converter
- 1
Select the angle unit you want to convert FROM (e.g. degrees).
- 2
Enter the numeric value.
- 3
Select the unit you want to convert TO (e.g. radians).
- 4
The result appears instantly.
- 5
Use the ⇄ swap button to reverse.
- 6
See all units in the table below.
Angle Conversion Formulas
1 turn = 360°
1 radian = 180/π ≈ 57.2958°
1 gradian = 0.9°
1 arcminute = 1/60°
1 arcsecond = 1/3600°Frequently Asked Questions
How do I convert degrees to radians?
Multiply degrees by π/180 (≈ 0.017453). For example, 180° = π radians ≈ 3.14159 rad.
What is a gradian?
A gradian (grad) = 0.9°. A right angle = 100 gradians. A full circle = 400 gradians. Used in surveying and some European countries.
What is an arcminute?
1 arcminute = 1/60 of a degree. Used in astronomy and navigation. 1 arcminute of latitude ≈ 1 nautical mile.
What is an arcsecond?
1 arcsecond = 1/3600 of a degree = 1/60 of an arcminute. Used in astronomy to measure very small angles between stars.