Radian to Degree Converter

One Radian equals 57.29577951 Degree (1 rad = 57.29577951 deg). Multiply a Radian value by 57.29577951 to get the equivalent in Degree. Use the calculator above for instant results, or follow the formula, worked examples, and reference table below.

Formula

deg = rad × 57.29577951

Multiply the Radian value by 57.29577951 to get the equivalent value in Degree.

Example Conversions

1 Radian (rad)

57.29577951 Degree (deg)

5 Radian (rad)

286.4788976 Degree (deg)

10 Radian (rad)

572.9577951 Degree (deg)

25 Radian (rad)

1432.394488 Degree (deg)

100 Radian (rad)

5729.577951 Degree (deg)

Conversion Table

Common conversion values from Radian to Degree
Radian (rad) Degree (deg)
0.1 5.729577951
0.5 28.64788976
1 57.29577951
2 114.591559
5 286.4788976
10 572.9577951
25 1432.394488
50 2864.788976
100 5729.577951
250 14323.94488
500 28647.88976
1000 57295.77951

How to Convert Manually

Use these steps to convert Radian values to Degree without the calculator.

  1. Write down the value in Radian (rad) that you want to convert.
  2. Multiply that value by 57.29577951.
  3. For example, 10 Radian × 57.29577951 = 572.9577951 Degree.
  4. Label the result as Degree (deg).

Relative Size Comparison

1 Radian
1rad
1 Degree0.01745329252Radians

This chart shows the visual difference in size between exactly one Radian and one Degree.

About Radian and Degree

The radian is the SI unit of angle: the angle whose arc length equals its radius, with 2π radians in a full turn. Calculus, physics, and programming math libraries work in radians. The degree is 1/360 of a full turn — a division inherited from Babylonian astronomy. Navigation, geometry, and everyday angle measurement default to degrees. One Radian equals 57.29577951 Degree (1 rad = 57.29577951 deg). Radian to Degree conversion comes up most often in physics and engineering formulas and in programming math functions, typically when figures need restating for navigation headings.

Precision and Rounding: Angle conversions are exact ratios of a full turn, but radian values involve π and never terminate in decimal form. Navigation and construction round to whole degrees or minutes; surveying, astronomy, and robotics carry six or more significant figures.

Conversion factors per NIST Special Publication 811 and the BIPM SI Brochure (9th edition) (reference).

Worked Example

15 Radian equals 859.4366927 Degree.

15 rad × 57.29577951 = 859.4366927 deg

FAQ

How do I convert Radian to Degree?

Multiply the Radian value by 57.29577951 to get the equivalent value in Degree.

What is the formula for Radian to Degree?

The formula is deg = rad × 57.29577951.

How many Degree are in 1 Radian?

1 Radian equals 57.29577951 Degree.

Can I convert Degree back to Radian?

Yes. 1 Degree equals 0.01745329252 Radian, and the related converter can reverse the calculation.

What are common names for Radian and Degree?

Radian is shown as rad and may also be searched as radian, radians. Degree is shown as deg and may also be searched as degree, degrees, °.

Was this page helpful?

Let us know if this converter met your needs.

Related Converters