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Degrees to Radians Converter

1 degree = 0.01745329252 radians. To convert ° to rad, multiply by 0.01745329252, or divide by 57.29577951.

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100 ° = 1.745 rad

1 °
0.01745 rad
1 rad
57.2958 °
10 °
0.1745 rad
100 °
1.7453 rad

How to convert Degrees to Radians

1 degree equals 0.01745329252 radians, so the conversion is a single multiplication.

rad = ° × 0.01745329252

Example: 150 ° × 0.01745329252 = 2.618 rad.

About the degree and the radian

Degree (°)

A full circle is 360 degrees, a convention that goes back to Babylonian astronomy.

Radian (rad)

A radian is the angle where the arc length equals the radius. A full circle is 2π radians.

1 degree in every angle unit

Radians0.01745 rad
Gradians1.111 grad
Arcminutes60 ′
Arcseconds3,600 ″
Turns0.002778 turn
Mils (NATO)17.778 mil
Radians to DegreesReverse conversionArcminutes to Degrees1 ′ = 0.01667 °Degrees to Arcminutes1 ° = 60 ′

Degrees to Radians FAQ

How many radians are in a degree?

1 degree = 0.01745329252 radians.

How many degrees are in a radian?

1 radian = 57.29577951 degrees.

How do I convert ° to rad?

Use rad = ° × 0.01745329252. For example, 10 ° = 0.1745 rad.

Can I print this Degrees to Radians chart?

Yes. Use "Print / Save PDF" next to the converter for a one-page chart, or "Download CSV" to open it in Excel or Google Sheets.