Angle Converter
Convert degrees, radians, gradians, turns, arcminutes, and arcseconds with trigonometric values.
A QUICK WALKTHROUGH
How to use this tool
- Enter an angle and choose its source unit.
- Optionally wrap it into 0–360 degrees, then choose display precision.
- Review all six units and sine, cosine, and tangent.
Conversion factors
Degrees are the base: degree 1, radian 180/π, gradian 0.9, turn 360, arcminute 1/60, arcsecond 1/3600. Values convert through degrees.
Wrapping and precision
Wrapping maps equivalent angles to [0°, 360°). Display rounding does not change the internal value; choose 0–12 decimal places.
Tangent singularities
Tangent is undefined at 90° + 180°k, rather than displaying a meaningless floating-point spike.
GOOD TO KNOW
Common questions
What does wrap do?
It maps an equivalent angle to 0° inclusive through 360° exclusive.
Why is tangent undefined?
Cosine is zero at 90° plus multiples of 180°, so sine divided by cosine is undefined.