EngiRef / Angle conversion

Convert Degrees to Radians (° to rad)

1 ° = 0.0174532925 rad. Convert degrees to radians with the exact factor, a common-values table and a free converter.

AngleSingle factor7 worked values

Conversion factor

rad = ° × 0.0174532925

1 ° = 0.0174532925 rad

Multiply by 0.0174532925 rad to go from degrees to radians, or divide by it to come back. The factor and every value below are computed by the same converter that runs at /convert, so this page and the tool cannot disagree.

° to rad table

Common degrees values converted to radians
Degrees (°)Radians (rad)
1 °0.0174532925 rad
2 °0.034906585 rad
5 °0.0872664626 rad
10 °0.174532925 rad
20 °0.34906585 rad
50 °0.872664626 rad
100 °1.74532925 rad

Every figure is computed at build time by the site’s own converter from the angle unit registry. For a value that is not listed, put it into the interactive converter.

Frequently asked questions

How many radians are in one degree?

One degree is 0.0174532925 rad, so 100 ° is 1.74532925 rad.

What is the formula to convert degrees to radians?

rad = ° × 0.0174532925. Multiply the value in degrees by 0.0174532925 to get radians.

How do I convert radians back to degrees?

° = rad × 57.2957795, so 1 rad is 57.2957795 °. The rad to ° page carries the same table in that direction.