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Gradian Converters

Convert between gradians (gons), degrees, radians and turns (revolutions).

What this tool does

Convert between gradians (gons), degrees, radians and turns (revolutions). Type an amount in gradians (gons), choose the units, and the tool converts it to degrees. It offers 4 angle units and also shows the same amount in the others.

Inputs

  • Value: A number.
  • From: Choose one: Gradian (gon), Degree, Radian, Turn (revolution). Starts as Gradian (gon).
  • To: Choose one of the same 4 units as "From". Starts as Degree.

How to use

  1. Enter the amount you want to convert.
  2. Choose the unit to convert from and the unit to convert to.
  3. Read the result: the converted amount and the same amount in the other units. It appears once every required field has a valid value.

Worked examples

Conversions from gradians (gons) to degrees:

  • 1 gon = 0.9°
  • 5 gon = 4.5°
  • 10 gon = 9°
  • 50 gon = 45°
  • 100 gon = 90°

Multiply the number of gradians (gons) by 0.9 to get degrees. Both units are exact definitions, so 0.9 is the exact factor: 1 gon = 0.9°.

Sources: Gradian (gon): NIST SP 811 (2008), Appendix B.8. Degree: SI Brochure, 9th edition (2019), Table 8.

Limitations

  • Converts the size of an angle between units only. It does not work out angles from side lengths or slopes.
  • Turn and revolution are the same unit here: one full circle.

FAQs

Q: How do I convert gradians (gons) to degrees?
A: Enter the value, choose gradian as the From unit and degree as the To unit. The result appears along with the same angle in the other listed units. To go the other way, swap the two units.
Q: How many gradians are in a full circle?
A: A full turn is 400 gradians (gons), so a right angle is 100 gradians and one gradian is 0.9 degree.
Q: Can I convert the other way?
A: Yes. Swap the From and To units to convert degrees to gradians (gons).

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