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Unit Converters

Degrees to Radians Converter

Convert degrees (°) to radians (rad) instantly. 1 ° = 0.01745329252 rad.

Free, no sign-upPrivate — runs in your browserUpdated October 2026
1 ° = 0.01745329252 rad

In all angle units

Degree1 °
Radian0.01745329252 rad
Gradian1.111111111 gon
Arcminute60 ′
Arcsecond3,600 ″

How to convert degrees to radians

Multiply the value in degrees by 0.01745329252 (or divide by 57.29577951) to get radians.

1 ° = 0.01745329252 rad

Example

To convert 10 degrees to radians: 10 × 0.01745329252 = 0.1745329252 rad.

° to rad conversion chart

Degrees (°)Radians (rad)
0.1 °0.001745329252 rad
0.25 °0.00436332313 rad
0.5 °0.00872664626 rad
1 °0.01745329252 rad
2 °0.03490658504 rad
3 °0.05235987756 rad
4 °0.06981317008 rad
5 °0.0872664626 rad
6 °0.1047197551 rad
7 °0.1221730476 rad
8 °0.1396263402 rad
9 °0.1570796327 rad
10 °0.1745329252 rad
12 °0.2094395102 rad
15 °0.2617993878 rad
20 °0.3490658504 rad
25 °0.436332313 rad
30 °0.5235987756 rad
40 °0.6981317008 rad
50 °0.872664626 rad
75 °1.308996939 rad
100 °1.745329252 rad
250 °4.36332313 rad
500 °8.72664626 rad
1,000 °17.45329252 rad

About the units

Degree (°)

A degree is 1/360 of a full turn.

Radian (rad)

A radian is the angle subtended by an arc equal in length to the radius; a full turn is 2π radians.

Related conversions

Radians to degrees · Degrees to gradians · Gradians to radians · All angle units

Frequently asked questions

How many radians are in a degree?

There are 0.01745329252 radians in one degree. Multiply any value in degrees by 0.01745329252 to convert it to radians.

What is 10 ° in rad?

10 degrees equals 0.1745329252 radians.

How do I convert radians back to degrees?

Multiply by 57.29577951, since 1 rad = 57.29577951 °. You can also use our radians to degrees converter.

What is a degree?

A degree is 1/360 of a full turn.