This degrees to gradians calculator converts a numeric degree value into a numeric gradian result instantly. It is most useful for surveying, civil engineering, CAD, and instrument workflows where the gradian or gon system is still used. If you need a quick answer for 90 degrees to gradians, 45 degrees to gradians, or a decimal degree reading from a plan set, this page gives you the direct numeric result without mixing in unsupported parsers or worksheet features.
The exact relationship is gradians = degrees x (10 / 9). A full circle is 360 degrees or 400 gradians, so every degree is slightly more than one gradian. Because the ratio is rational rather than based on pi, the conversion is especially convenient for decimal engineering workflows.
If you convert 90 degrees, the result is 100 gradians. If you convert 45 degrees, the result is 50 gradians. If you convert 180 degrees, the result is 200 gradians. A right angle being exactly 100 gradians is one of the reasons the gradian system remains useful in some surveying and civil work.
Common checks are easy to verify. 30 degrees equals 33.3333333333 gradians. 60 degrees equals 66.6666666667 gradians. 75 degrees equals 83.3333333333 gradians. 120 degrees equals 133.3333333333 gradians. A negative angle keeps its sign, so -45 degrees becomes -50 gradians. This page is best when you already have a numeric degree reading and want the decimal gradian result immediately.
Gradians are less common than degrees and radians, but they still appear in land surveying, some European engineering contexts, and instrument displays that use grad or gon mode. The key appeal is decimal structure: a right angle is 100 gradians and a full turn is 400 gradians, which makes partitioning and percentage-style reasoning straightforward in some field calculations.
One common use case is reading plan notes or total-station output that references gradians while your source angle is recorded in degrees. Another is CAD or civil-design review, where an imported value may need to be checked against a gradian-based workflow. It can also help students or junior engineers who understand degrees intuitively but need to work with gradian-mode calculators or instrument manuals.
If you need the standard trig conversion path instead, our degrees to radians converter covers the more common math and programming workflow. If you need to move back from radian output into degrees, our radians to degrees converter is the paired reverse page, and our full angle unit converter covers the broader angle family.
This page is a numeric converter only. It does not parse degree-minute-second text, it does not generate worksheets, and it does not evaluate trig functions. Enter a decimal degree value and read the numeric gradian result. It also does not try to interpret instrument-specific notation beyond the numeric angle itself.
Users often reach this page for 90 degrees to gradians, a quick deg to grad calculator, or a direct CAD and surveying check before copying a value into an instrument or worksheet. This page supports that intent clearly by staying on numeric degree input and numeric gradian output rather than mixing in other angle notation systems.
If the work later shifts into radians or several angle standards at once, use the shared angle conversion tool. If the real need is ordinary trig input for code, return to the degrees to radians converter. That keeps degrees to gradians aligned to the less-common but still real gradian workflow.
| Degrees | Gradians | Common query |
|---|---|---|
| 0 | 0 | 0 degrees to gradians |
| 9 | 10 | 9 degrees to gradians |
| 18 | 20 | 18 degrees to gradians |
| 30 | 33.3333333333 | 30 degrees to gradians |
| 45 | 50 | 45 degrees to gradians |
| 60 | 66.6666666667 | 60 degrees to gradians |
| 90 | 100 | 90 degrees to gradians |
| 120 | 133.3333333333 | 120 degrees to gradians |
| 180 | 200 | 180 degrees to gradians |
| 360 | 400 | 360 degrees to gradians |
The exact formula is gradians = degrees x (10 / 9). This page applies that formula and returns the numeric gradian result.
90 degrees equal 100 gradians. That is the standard right-angle check in the gradian system.
45 degrees equal 50 gradians. This is another common lookup for surveying and CAD checks.
Gradians still appear in surveying, some European engineering contexts, and instrument modes that use grad or gon notation.
No. Gradians and radians are different angle systems. Radians are tied to pi and circle geometry, while gradians divide a full turn into 400 parts.
No. This page expects a numeric decimal degree value only. It does not parse degree-minute-second text.
The main reason is decimal convenience in certain surveying and engineering workflows, where a right angle being exactly 100 gradians is useful.
Use this page when the source angle is in degrees but the destination workflow expects gradians, which often appears in surveying, CAD, and some engineering contexts. It is a narrower job than ordinary trig conversion, which is exactly why a focused page still helps.
If the work is really about radians or a broader angle family, the shared angle conversion tool is the better route. This page matters when the question is specifically how a degree value maps into the gradian system.
Check that the downstream tool or document truly uses gradians and not degrees with a different display style. Survey and CAD workflows can be precise about that distinction. For neighboring routes, use Degrees to Radians Converter or Radians to Degrees Converter when the angle system changes again.
This is what keeps the page useful. It solves one less-common but real degree-to-gradian translation without pretending every angle workflow starts in the same unit system.
Convert degrees to gradians for surveying, CAD, and gradian-mode engineering checks.