Angle Converter

The Angle Converter lets you convert between six common angle measurement units: degrees, radians, gradians, arcminutes, arcseconds, and turns. Angle measurements are essential in mathematics, physics, engineering, navigation, astronomy, and surveying, and different disciplines have adopted different preferred units.

Degrees are the most familiar unit for everyday angle measurement, where a full rotation equals 360 degrees. Radians are the standard unit in mathematics and physics, where a full rotation equals 2 pi radians. Gradians (also called gons or grads) divide a full rotation into 400 parts and are used in some European surveying and civil engineering contexts. Arcminutes and arcseconds are subdivisions of degrees: one degree equals 60 arcminutes, and one arcminute equals 60 arcseconds. These fine-grained units are essential in astronomy, navigation, and precision targeting. Turns represent complete rotations, where one turn equals 360 degrees.

The converter uses degrees as the internal base unit. Every input value is first converted to degrees, then converted from degrees to the target unit. The conversion factors use exact mathematical definitions: one radian equals 180/pi degrees, one gradian equals 0.9 degrees, one arcminute equals 1/60 of a degree, one arcsecond equals 1/3600 of a degree, and one turn equals 360 degrees.

All processing runs entirely in your browser using JavaScript. No data is sent to any server, keeping your inputs private. Results are displayed with up to six decimal places, with trailing zeros removed for clean output.