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Gradian to Radian Converter

Instant, two-way conversion across common engineering units.

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1 gon = 0.015707963 rad(Gradian → Radian)

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Converting gradians to radians

To convert gradians to radians, multiply the value by 0.015707963. 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 gradian = 0.015707963 radians.
1 radian = 63.661977 gradians.

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°.

Radian (rad)

The radian (rad) is the SI unit of plane angle, the angle subtending an arc equal to the radius.

Origin
Defined geometrically from the circle, making it dimensionless in SI.
Where it is used
Used in structural analysis, rotation calculations and all trigonometric software input.
Relation to SI
1 rad = 180/π degrees, about 57.2958°.

Frequently asked questions

How many radians are in one gradian?

1 gon equals 0.015707963 rad.

How do I convert gradians to radians?

Multiply the value by 0.015707963. For example, 10 gon equals 0.15707963 rad.

How do I convert back from radians to gradians?

1 rad equals 63.661977 gon. 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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