Angle Converter
Convert angles between degrees, radians, gradians (gon), arcminutes, and arcseconds. Essential for trigonometry, navigation, surveying, and programming.
Common Angle Conversions
| From | To |
|---|---|
| 180° | π radians (≈ 3.14159 rad) |
| 1 radian | 57.2958° |
| 360° | 2π rad = 400 grad |
| 1 grad | 0.9° |
| 1° | 1.11111 grad |
| 1° | 60 arcminutes |
| 1 arcminute | 60 arcseconds |
| 1° | 3,600 arcseconds |
Angle Unit Definitions
- Degree (°)
- 1/360 of a full rotation. The most common angle unit.
- Radian (rad)
- SI unit of angle. One radian = the angle subtended by an arc equal in length to the radius. 2π rad = 360°.
- Gradian (gon)
- 1/400 of a full circle. Used in surveying.
- Arcminute (′)
- 1/60 of a degree.
- Arcsecond (″)
- 1/3600 of a degree.
Frequently Asked Questions
How do I convert degrees to radians?
Multiply degrees by π/180 (≈ 0.017453). Example: 90° × π/180 = π/2 ≈ 1.5708 rad.
How many degrees is π radians?
π radians = exactly 180 degrees.