How many degrees are in a radian?

1 rad = 57.2958 °. To convert any amount, multiply by 57.2958.

How do you convert radians to degrees?

Multiply the number of radians by 57.2958 to get degrees. The formula is shown in the "How it's calculated" section above.

Where does the conversion factor come from?

It's a published international standard. Most are defined exactly by international agreement (e.g. 1 inch = 25.4 mm exactly, 1 lb = 0.45359237 kg exactly). Source citations are listed under the formula above.

Unit converter — Angle

Radians to degrees converter

Convert radians (rad) to degrees (°). Source-cited conversion factor, exact to the displayed precision.

Results are mathematically exact for the displayed precision. How we calculate.

How it's calculated

Convert radians to degrees— the formula

Radians convert to degrees by multiplying by the published conversion factor. The factor below is exact to the precision shown, sourced from the citation under the formula.

° = rad × 57.2958

rad = ° × 0.017453

Radian: SI coherent derived unit for plane angle (BIPM). 1 full turn = 2π rad = 360° = 400 gon = 1 rev. 1° = 60 arcminutes = 3600 arcseconds (exact, by definition).

Questions

Frequently asked questions

How many degrees are in a radian?
1 rad = 57.2958 °. To convert any amount, multiply by 57.2958.
How do you convert radians to degrees?
Multiply the number of radians by 57.2958 to get degrees. The formula is shown in the "How it's calculated" section above.
Where does the conversion factor come from?
It's a published international standard. Most are defined exactly by international agreement (e.g. 1 inch = 25.4 mm exactly, 1 lb = 0.45359237 kg exactly). Source citations are listed under the formula above.