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Degree to Gradian Converter

Instant, two-way conversion across common engineering units.

Free

1 ° = 1.1111111 gon(Degree → Gradian)

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Converting degrees to gradians

To convert degrees to gradians, multiply the value by 1.1111111. Angle conversions cover roof pitch, setting out and rotation inputs, where degrees, radians and gradians are all in daily use.

Visual scale

To scale
1 degree = 1.1111111 gradians.
1 gradian = 0.9 degrees.

Degree (°)

The degree (°) divides a full turn into 360 parts.

Origin
Inherited from Babylonian sexagesimal astronomy and retained as a non-SI unit accepted for use with SI.
Where it is used
Used for roof pitch, setting out, bearings, ramps and drawing annotation.
Relation to SI
360° = 2π rad; 1° = π/180 rad.

Gradian (gon)

The gradian (gon) divides a right angle into 100 parts.

Origin
Introduced with the metric system to decimalize angle measurement.
Where it is used
Used in surveying and geodesy, especially in continental Europe.
Relation to SI
400 gon = 360°, so 1 gon = 0.9°.

Frequently asked questions

How many gradians are in one degree?

1 ° equals 1.1111111 gon.

How do I convert degrees to gradians?

Multiply the value by 1.1111111. For example, 10 ° equals 11.111111 gon.

How do I convert back from gradians to degrees?

1 gon equals 0.9 °. The converter above works in both directions, so you can type into either field.

When should I use radians instead of degrees?

Radians are the SI unit and the input most software and trigonometric functions expect. Degrees remain standard on drawings and for roof pitch.

What is a gradian used for?

The gradian, or gon, divides a right angle into 100 parts and is used in surveying and geodesy, mainly in continental Europe.

Is this angle converter free to use?

Yes. Every unit conversion runs in your browser, needs no account and is free for professional use.

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