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Degrees to radians (° to rad)

1 ° = 0.01745329252 rad. Enter any value below to convert degrees to radians instantly, or use the angle converter for every other unit.

Maintained by Jairo TunisseLast updated Editorial policy

1 ° = 0.01745329252 rad

rad = ° × 0.01745329252
1 rad = 57.29577951 °

Convert angle

Common angle conversions

1 °0.01745329252 rad
1 rad57.29577951 °
1 °60 ′
1 ′60 ″
1 rev360 °
1 °1.111111111 gon
1 gon0.9 °

Degrees to radians conversion table

Degrees to radians
Degrees (°)Radians (rad)
1 °0.01745329252 rad
15 °0.2617993878 rad
30 °0.5235987756 rad
45 °0.7853981634 rad
60 °1.047197551 rad
90 °1.570796327 rad
120 °2.094395102 rad
180 °3.141592654 rad
270 °4.71238898 rad
360 °6.283185307 rad

The formula

rad = ° × 0.01745329252

180° = π rad. 1 rad = SI unit of angle. These are exact definitions, so the only rounding is in the displayed result (10 significant digits).

When you need it

Degrees to radians is needed whenever you call sin, cos or tan in code or a spreadsheet — most math libraries expect radians. Multiply by π/180. Common angles map to neat fractions: 90° = π/2, 180° = π, 360° = 2π.

More angle converter conversions

Frequently asked questions

How do I convert degrees to radians?

Multiply the value in degrees by 0.01745329252 (or divide by 57.29577951). For example, 45 ° = 0.7853981634 rad.

How many radians are in one degree?

1 ° = 0.01745329252 rad.

Does Excel use radians?

Yes. Excel's SIN and COS take radians; use RADIANS() to convert from degrees.

What is 45° in radians?

π/4, about 0.785 rad.

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