Convert Gradians to Degrees

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

Gradians to Degrees calculator

to
gon
Degrees
°

Gradians to Degrees formula

Use this formula to convert gradians to degrees:

Degrees = Gradians * 9 / 10

Calculation

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

Gradians to Degrees Conversion Table

Reference values for converting Gradians to Degrees.

Gradians (gon)Degrees (°)
0 gon0 °
1 gon0.9 °
10 gon9 °
45 gon40.5 °
90 gon81 °
180 gon162 °
360 gon324 °
1000 gon900 °

Worked example

Convert 100 Gradians to Degrees

Degrees = 100 × 9 / 10 = 90 Degrees

About these units

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.

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.

Frequently asked questions

Is 100 gradians equal to 90 degrees?
Yes, 100 gradians is equal to 90 degrees because 100 × 0.9 = 90.
What is the difference between degrees and gradians?
Degrees and gradians are both units for measuring angles. A full circle is 360 degrees or 400 gradians. Therefore, gradians divide a circle into 400 equal parts, making calculations involving right angles and percentages simpler.