Degrees to Radians

1 ° = 0.01745329 rad

How to convert degrees to radians

rad = ° × 0.01745329

Example: 5 ° = 0.08726646 rad

Degrees to Radians conversion table

Degrees (°)Radians (rad)
1 °0.01745329 rad
2 °0.03490659 rad
3 °0.05235988 rad
4 °0.06981317 rad
5 °0.08726646 rad
6 °0.1047198 rad
7 °0.122173 rad
8 °0.1396263 rad
9 °0.1570796 rad
10 °0.1745329 rad
15 °0.2617994 rad
20 °0.3490659 rad
25 °0.4363323 rad
30 °0.5235988 rad
40 °0.6981317 rad
50 °0.8726646 rad
75 °1.308997 rad
100 °1.745329 rad
250 °4.363323 rad
500 °8.726646 rad
1,000 °17.45329 rad

About the units

Degrees: The degree is 1/360 of a full turn, the most common unit for measuring angles.

Radians: The radian is the SI unit of angle: the angle subtended by an arc equal in length to the radius. A full turn is 2π radians.

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Frequently asked questions

How many radians are in 1 degree?

1 degree equals 0.01745329 radians.

How many degrees are in 1 radian?

1 radian equals 57.29578 degrees.

How do I convert degrees to radians?

Use the formula rad = ° × 0.01745329.

What is 10 degrees in radians?

10 degrees equals 0.1745329 radians.

Related conversions

Factors: NIST SP 811 · SI Brochure · NIST Handbook 44 — Updated