Convert Degrees to Gradians

Enter a value in degrees to convert it to gradians. The result updates instantly and includes the formula and calculation steps.

Degrees to Gradians calculator

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Gradians
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Degrees to Gradians formula

Use this formula to convert degrees to gradians:

Gradians = Degrees * 10 / 9

Calculation

Enter a valid number above to see the formula with your value substituted step by step.

Degrees to Gradians Conversion Table

Reference values for converting Degrees to Gradians.

Degrees (°)Gradians (gon)
0 °0 gon
1 °1.1111 gon
10 °11.1111 gon
45 °50 gon
90 °100 gon
180 °200 gon
360 °400 gon
1000 °1111.1111 gon

Worked example

Convert 45 Degrees to Gradians

Gradians = 45 × 10 / 9 = 50 Gradians

About these units

Degrees

Degrees are a widely used unit of angular measurement, especially in geometry, trigonometry, and everyday applications. A full circle is divided into 360 degrees, with each degree further divided into 60 minutes and each minute into 60 seconds. Degrees offer an intuitive way to express angles, and they are prevalent in fields ranging from navigation to astronomy, as well as in common day-to-day measurements.

Gradians

Gradians, also known as grads or gon, are a unit of angular measurement where a full circle is divided into 400 gradians. This unit is particularly useful in fields such as surveying and civil engineering, especially in some European countries. One gradian is equivalent to 0.9 degrees, making it convenient for calculating right angles and dividing circles into decimal fractions.