How this calculator works
A full turn equals 360 degrees, 2π radians or 400 gradians. Negative angles and rotations beyond a full turn are retained rather than normalized.
The formula
Base degrees = input × degrees per source unit. Target = base degrees / degrees per target unit.A quick example
180 degrees equals π radians, 200 gradians or half a turn.
How to use this calculator
- Choose the settings that match your scenario, using the units shown beside each field.
- Enter value, from, to.
- Calculate, then review the method and assumptions alongside the results.
A few common questions
Are angles wrapped into 0–360 degrees?
No. The signed magnitude is preserved.
Is a gradian the same as a degree?
No. A right angle is 100 gradians and 90 degrees.
Reference: NIST: SI conversion factors