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 gradians to degrees?

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

How many degrees are in 400 gradians?

400 gradians equal exactly 360 degrees — one full circle. A right angle is 100 grad = 90°, and a straight angle is 200 grad = 180°.

Where are gradians used?

Gradians are commonly used in surveying, civil engineering, and some military and navigation contexts, particularly in continental Europe. Many 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.

Gradians to Degrees Converter

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

Enter Angle in Gradians

Gradians (grad / gon)

Formula: deg = grad × (9/10)

Common Angle Reference Table

Click any row to load that angle into the converter.

Gradians (grad)	Degrees (°)	Common Name

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Summary

This tool converts angle measurements from gradians to degrees using the formula: degrees = gradians × (9/10). A gradian (also called grad or gon) divides a full circle into 400 equal parts, so 400 gradians equal 360 degrees. Gradians are used in surveying, civil engineering, and some European navigation contexts. Enter any gradian value to get the exact degree equivalent and see the calculation steps.

How it works

Enter an angle in gradians in the input field.
The converter applies the formula: degrees = gradians × (9/10).
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 gradian angles to degrees for standard geometry calculations.
Verifying angle measurements read from surveying instruments.
Learning about the relationship between grad and degree units.
Converting angles from software or calculators set to grad mode.
Comparing gradian and degree representations of the same angle.
Teaching the gradian system alongside degrees and radians.

Frequently Asked Questions

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