Gradians to Degrees Converter

How it is calculated

A full circle is 400 gradians (gon) or 360 degrees, so the tool uses degrees = gon × 0.9 and radians = gon × π / 200. gon is the angle in gradians. Degrees are shown with two decimals and the degree sign, radians with four decimals. There is no range limit: negative angles and angles above 400 gon are converted as they are, without wrapping around to 0–360, so 450 gon returns 405.00°, not 45°. Anything that is not a number returns no result. Results are rounded for display only, so a long decimal in the input can show a rounded last digit.

Common mistakes

• Dividing by 0.9 instead of multiplying. One gon is smaller than one degree, so the degree value is always 10% less than the gon value.
• Confusing gon with grad as a unit on a calculator display. Many scientific calculators label the third angle mode GRAD; it is the same gradian, not a different unit.
• Expecting angles to wrap to a single turn. The tool gives 405° for 450 gon; subtract 360 yourself if you need the equivalent within one revolution.
• Reading a surveying bearing in degrees-minutes-seconds as a decimal degree. The tool takes decimal gon only.
• Using the radian output for a degree-mode calculation, or the reverse, which is the commonest cause of wrong trigonometry results.