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

360° = 2π rad = 400 grad = 1 turn; 1° = 60′ = 3600″

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.

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.

Is this calculator free?

Yes. It is free to use and requires no account.

Angle Converter