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Degree to Radian Converter

Instant, two-way conversion across common engineering units.

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1 ° = 0.017453293 rad(Degree → Radian)

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Converting degrees to radians

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

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 degree?

1 ° equals 0.017453293 rad.

How do I convert degrees to radians?

Multiply the value by 0.017453293. For example, 10 ° equals 0.17453293 rad.

How do I convert back from radians to degrees?

1 rad equals 57.29578 °. 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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