Gradian to Degree

Convert Gradian to Degree instantly. Free online angle unit converter with exact formula, conversion table and FAQ.

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Formula

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Formula

degree = gradian × 0.9

gradian = degree × 1.111111

Conversion table

1 gon0.9 deg
5 gon4.5 deg
10 gon9 deg
20 gon18 deg
50 gon45 deg
100 gon90 deg
500 gon450 deg
1000 gon900 deg
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Frequently asked questions

What is the source unit in this conversion?

The source unit is the gradian (gon). A gradian is 1/400 of a turn.

What is the destination unit in this conversion?

The destination unit is the degree (deg). A degree is pi/180 radians.

How do I convert gradian to degree?

Multiply the gradian value by 0.9. For example, 10 gon × 0.9 = 9 deg.

Is the gradian to degree conversion exact?

Yes. The relationship between these units is a fixed mathematical or SI-defined ratio, so the conversion factor is exact rather than a measured approximation.

Where is this conversion commonly used?

It's used whenever a value expressed in gradian needs to be compared with, or reported in, degree, such as in engineering, scientific, or everyday calculations.

Can I convert degree back to gradian?

Yes. Multiply the degree value by 1.111111 to get gradian.

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About this conversion

This page converts gradian (gon) to degree (deg) within the angle converter.

A gradian is 1/400 of a turn. A degree is pi/180 radians.

The formula is degree = gradian × 0.9, based on each unit's fixed relationship to the angle converter's base unit.

The conversion is exact, since it relies on a fixed numerical ratio between the two units rather than a measured or approximate value.

Use the calculator above for instant results, or the table below for common gradian values already converted to degree.