THE NUMORIX GUIDE
How to use the Angle Converter
Last reviewed September 14, 2026
What this calculator does
The converter normalizes the input to degrees, then divides by the destination unit's degree factor: target = value x fromFactor / toFactor.
Formula and method
The converter normalizes the input to degrees, then divides by the destination unit's degree factor: target = value x fromFactor / toFactor. One degree is the base; one radian is 180/pi degrees, one gradian is 0.9 degrees, one arcminute is 1/60 degree, one arcsecond is 1/3600 degree, and one revolution is 360 degrees.
Variables and inputs
Enter a numeric angle and choose a source and destination from degrees (deg), radians (rad), gradians (gon), arcminutes, arcseconds, or revolutions. The form accepts signed values and rounds the displayed result to six decimal places.
Worked example
For 180 degrees converted to radians, the normalized value is 180 degrees and 180 / (180/pi) = pi = 3.141593 rad after the engine's six-place rounding. The same 180 degrees is 200 gradians and 0.5 revolution.
How to interpret the result
The result is the same geometric angle expressed in a different unit. Radians are the natural unit for arc length and calculus, degrees are common for bearings and everyday geometry, and revolutions describe complete turns.
Common mistakes to avoid
Do not use a degree value where a formula expects radians, and do not confuse arcminutes or arcseconds with minutes or seconds of time. A revolution is 360 degrees, not 100 gradians. Keep the source and destination selections in the stated order.
Assumptions and limitations
This is a unit conversion, not a trigonometric or bearing calculation. It does not normalize a bearing to a compass range, account for angular uncertainty, or validate a physical range; parseFloat accepts any numeric sign. Six-place display rounding can affect a later calculation if the rounded display is copied instead of the full value.