At One Place

Radians to degrees

1 radian in degrees
1 rad = 57.29578 °
° = rad × 57.29577951

To convert radians to degrees, multiply by 57.29577951. The table below gives the values people look up most often, and the converter works for any number.

Radians to degrees table

Common radian values converted to degrees.
Radians Degrees
1 rad 57.29578
2 rad 114.5916
3 rad 171.8873
4 rad 229.1831
5 rad 286.4789
10 rad 572.9578
15 rad 859.4367
20 rad 1,145.9156
25 rad 1,432.3945
30 rad 1,718.8734
40 rad 2,291.8312
50 rad 2,864.789
75 rad 4,297.1835
100 rad 5,729.578
250 rad 14,323.945
500 rad 28,647.89
1,000 rad 57,295.78

How the conversion works

The relationship is ° = rad × 57.29577951. Both units measure angle, so the conversion is a fixed factor that never changes.

Common questions

How many degrees are in one radian?
One radian equals 57.29578 degrees. ° = rad × 57.29577951.
How do you convert radians to degrees?
Use ° = rad × 57.29577951. So 10 rad is 572.9578 °.
How many radians are in one degree?
One degree equals 0.017453 radians, which is the reverse of the conversion above.

Related pages

Sources

  1. Guide for the Use of the International System of Units (SP 811) — NIST (Public domain (US Government))
  2. The International System of Units (SI Brochure) — Bureau International des Poids et Mesures
  3. Calculated on this page — At One Place

How these figures are compiled and checked