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Radian to Degree Converter

Instant, two-way conversion across common engineering units.

Free

1 rad = 57.29578 °(Radian → Degree)

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Converting radians to degrees

To convert radians to degrees, multiply the value by 57.29578. 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 radian = 57.29578 degrees.
1 degree = 0.017453293 radians.

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°.

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.

Frequently asked questions

How many degrees are in one radian?

1 rad equals 57.29578 °.

How do I convert radians to degrees?

Multiply the value by 57.29578. For example, 10 rad equals 572.9578 °.

How do I convert back from degrees to radians?

1 ° equals 0.017453293 rad. 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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