A gradian (also called grad or gon) is a unit of angle measurement where a full circle equals 400 gradians. This makes a right angle exactly 100 grad, which simplifies calculations in surveying and engineering.

What is the formula to convert degrees to gradians?

Multiply the degree value by 10/9. For example, 90° × (10/9) = 100 grad. This works because 360° = 400 grad, so the ratio is 400/360 = 10/9.

How many gradians are in a full circle?

A full 360° circle equals exactly 400 gradians. A right angle (90°) equals exactly 100 grad, which is the main advantage of this system.

Where are gradians used?

Gradians are commonly used in surveying, civil engineering, and some military and navigation contexts, particularly in continental Europe. Some scientific calculators have a "grad" mode alongside degrees and radians.

What is the difference between grad and gon?

"Grad" and "gon" are two names for the same unit. "Gon" is the ISO 31-1 standard name, while "grad" is the older term still commonly used on calculators and in engineering. Both represent 1/400 of a full circle.

Degrees to Gradians Converter

Convert any angle from degrees to gradians (grad/gon) instantly using the formula gradians = degrees × 10/9, with a step-by-step breakdown and reference table.

Enter Angle in Degrees

Degrees (°)

Formula: grad = deg × (10/9)

Common Angle Reference Table

Click any row to load that angle into the converter.

Degrees (°)	Gradians (grad)	Common Name

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Summary

This tool converts angle measurements from degrees to gradians using the formula: gradians = degrees × (10/9). A gradian (also called grad or gon) divides a full circle into 400 equal parts, making right angles exactly 100 grad. This system is used in surveying, civil engineering, and some European navigation contexts. Enter any degree value to get the exact gradian equivalent and see the calculation steps.

How it works

Enter an angle in degrees in the input field.
The converter applies the formula: gradians = degrees × (10/9).
The step-by-step calculation is shown below the result.
Use the reference table to look up common angles instantly.
Click any row in the reference table to load that angle into the converter.

Use cases

Converting degree angles to gradians for surveying calculations.
Verifying angle measurements in civil engineering or geodesy.
Learning about alternative angle units used in European navigation.
Converting angles for software that uses the grad system.
Comparing degree and gradian representations of the same angle.
Teaching the relationship between degree, radian, and gradian units.

Frequently Asked Questions

Last updated: 2026-06-19 · Reviewed by Nham Vu