Angle Converter
Convert between degrees, radians, gradians, arcminutes, arcseconds, turns, and milliradians instantly.
| From | To | Result |
|---|---|---|
| π rad (3.14159…) | Degrees | 180° |
| 1 rad | Degrees | 57.2958° |
| 90° | Radians | π/2 ≈ 1.5708 rad |
| 360° | Radians | 2π ≈ 6.2832 rad |
| 1 Turn | Degrees | 360° |
| 100 grad | Degrees | 90° |
| 1° | Arcminutes | 60' |
| 1' | Arcseconds | 60" |
Frequently Asked Questions
About This Angle Converter
This free angle converter instantly converts between degrees, radians, gradians, arcminutes, and arcseconds. Enter a value in any unit and all others update simultaneously.
When to use this converter
- Converting radians to degrees for trigonometry and programming
- Working with navigation or astronomy angular coordinates
- Converting between DMS (degrees–minutes–seconds) and decimal degrees
Standards & References
How It Works
Enter Angle
Enter any angle value. All conversions use the degree as the internal base unit for angle measurement.
Select Units
Choose from degrees, radians, gradians, arcminutes, arcseconds, turns, and milliradians. Swap with one click.
Instant Result
Results appear instantly with the exact conversion factor. The reference table shows common angle equivalents.
Common Use Cases
Programming & Math
Convert between degrees and radians when working with trigonometric functions in code — most math libraries use radians by default.
Surveying & Navigation
Convert angles between degrees and gradians for land surveying, civil engineering, and GPS coordinate calculations.
Astronomy
Convert between arcminutes, arcseconds, and degrees for measuring star positions, angular diameters of celestial objects, and telescope fields of view.
Optics & Targeting
Convert between milliradians and degrees for scope adjustments, ballistics calculations, and precision optical instrument calibration.
Engineering & CAD
Convert rotation angles between degrees and radians for mechanical design, robotics, CNC machining, and CAD software input fields.
Education
Verify angle conversions for trigonometry, geometry, and precalculus homework. Understand the radian-degree relationship intuitively.
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