MihsabaShare this free calculator
Send this tool to someone who needs the calculation.
How to use
The angle converter maps one value among seven common angle units using radians as the internal bridge. It supports degrees, radians, gradians, turns, arcminutes, arcseconds and milliradians and displays several equivalents for quick checking.
- Enter an angle value; negative values are allowed.
- Choose source and target units.
- Calculate to convert through the unit factors.
- Review the requested result and common equivalents.
How it is calculated
Example
180° equals π radians ≈ 3.141592654, 200 gradians, 0.5 turn, 10,800 arcminutes and 648,000 arcseconds.
Important notes
These relationships are mathematical constants. Some fields also use specialized units with similar names, such as several definitions of 'mil'. This page uses the mathematical milliradian (mrad) only and assumes no military mil convention.
Worked examples and interpreting results
Degrees, radians, gradians and turns are different units for the same angle: 180 degrees equals π radians.
| Case | Calculation | Result |
|---|---|---|
| 180 degrees to radians | 180 × π ÷ 180 | 3.141593 rad |
| Full turn to degrees | 1 × 360 | 360 ° |
How to check the result
Do not confuse degrees with gradians. One full turn is 360 degrees, 400 gradians or 2π radians.
Frequently asked questions
How many radians are 180 degrees?
Exactly π radians.
What is the difference between degrees and gradians?
A full turn is 360° but 400 grad, so 1 grad = 0.9°.
Can I convert a negative angle?
Yes. The sign is preserved through the conversion.