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Angle Converter
Convert between angle units — degrees, radians, gradians, arcminutes, arcseconds and turns.
Conversion Formula
π rad = 180° · 1° = π/180 rad ≈ 0.0174533 rad · 1 turn = 360° · 1° = 60 arcmin = 3,600 arcsec
Common Angle Converter Reference
| From | Equals | Also |
|---|
| 1° | 0.0174533 rad | 1.11111 grad |
| 1 rad | 57.2958° | 63.6620 grad |
| 90° | 1.5708 rad | 100 grad |
| 180° | 3.14159 rad | 200 grad |
| 360° (1 turn) | 6.28319 rad | 400 grad |
| 1 grad | 0.9° | 0.015708 rad |
How to Convert Angle
- Enter the value you want to convert.
- Choose the From unit.
- Choose the To unit.
- Click Convert to see the result instantly.
Frequently Asked Questions
How many radians are in 180 degrees?+
180° = π radians ≈ 3.14159 rad.
How do I convert degrees to radians?+
Multiply by π/180 ≈ 0.0174533. Example: 45° = 0.785398 rad.
What is a gradian?+
A gradian (grad) is 1/400 of a full circle, so 90° = 100 grad. Used in surveying.
What is an arcminute?+
1 arcminute = 1/60 of a degree = 60 arcseconds. Used in astronomy and navigation.
How many degrees are in a full rotation?+
360° = 2π radians = 400 gradians = 1 turn.
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