Radians to Degrees (rad to °)

Convert radians to degrees instantly. 1 radian = 57.29577951 degrees, so multiply by 57.29577951. Includes worked examples and a full rad to ° table.

How to convert radians to degrees

1 radian = 57.29577951 degrees and 1 degree = 0.0174532925 radians. To convert radians to degrees, multiply by 57.29577951:

° = rad × 57.29577951

Examples

  • 1 rad × 57.29577951 = 57.29577951 °
  • 1.5708 rad × 57.29577951 = 90.00021046 °
  • 3.14159 rad × 57.29577951 = 179.999848 °

rad to ° conversion table

Radians (rad)Degrees (°)
1 rad57.29577951 °
5 rad286.4788976 °
10 rad572.9577951 °
15 rad859.4366927 °
30 rad1,718.873385 °
45 rad2,578.310078 °
60 rad3,437.746771 °
90 rad5,156.620156 °
120 rad6,875.493542 °
135 rad7,734.930234 °
150 rad8,594.366927 °
180 rad10,313.24031 °
210 rad12,032.1137 °
225 rad12,891.55039 °
270 rad15,469.86047 °
300 rad17,188.73385 °
315 rad18,048.17055 °
360 rad20,626.48062 °

What is a radian?

A radian is the angle at which the arc length equals the radius; a full turn is 2π radians (about 6.283).

What is a degree?

A degree is 1/360 of a full turn.

Related conversions

Frequently asked questions

How do I convert radians to degrees?

Multiply the value in radians by 57.29577951. 1 radian = 57.29577951 degrees.

How many radians are in one degree?

1 degree = 0.0174532925 radians.

What is 1.5708 rad in °?

1.5708 rad = 90.00021046 °.

What is 3.14159 rad in °?

3.14159 rad = 179.999848 °.