Convert degrees, radians, gradians, arc minutes, arc seconds, and turns.
This tool converts a single angle value across six units at once: degrees, radians, gradians, arc minutes, arc seconds, and turns. Enter a value in any one field and the others recalculate using the fixed ratios between units - 360 degrees, 2 pi radians, 400 gradians, and 1 turn all describe the same full rotation. The most common surprise is gradians: a 90-degree right angle is only 100 gradians, not 90, because the gradian system divides a circle into 400 parts instead of 360.
A concrete input and expected output from the current implementation.
Input
90 degrees
Expected output
1.5707963268 rad, 100 grad, 0.25 turn, 5400 arcmin, 324000 arcsec
A full turn is 360 degrees = 2 pi radians = 400 gradians = 21600 arc minutes = 1296000 arc seconds, so 90 degrees is exactly one quarter of each of those, while the radian value (pi/2) is shown as a rounded decimal because it has no exact terminating form.
Every conversion routes through the fact that one full turn equals 360 degrees, 2 pi radians, 400 gradians, 21,600 arc minutes, and 1,296,000 arc seconds. A value entered in one field is scaled against that shared full-turn ratio and then scaled back out to each other unit, which keeps all six figures consistent no matter which field you started from.
Degrees, radians, gradians, arc minutes, arc seconds and turns are shown as separate fields tied to one underlying angle. The radian field displays a decimal rather than a multiple of pi. Arc minutes and arc seconds are subdivisions of a degree of angle, not units of time, despite sharing names with clock minutes and seconds.
This isn't confirmed from the tool's description - it may pass the raw value through to every unit or normalize it to one rotation. If your work depends on a canonical 0-360 bearing, enter the value and check the degrees field directly rather than assuming.
The tool exposes degrees, arc minutes, and arc seconds as separate fields for a single angle, not a combined degrees-minutes-seconds entry box, so a compound coordinate would need to be converted to decimal degrees first or entered as matching separate values.
The example and behavioral notes were checked against the browser implementation. Standards and primary references below define the relevant format, formula, or platform behavior.
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