Radian to Degree Converter

Convert Radian (rad) to Degree (deg) instantly with this angle converter. Use the calculator above, then check the formula, worked examples, table, and manual steps 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

Converting Radian to Degree is common in angle applications, engineering, and everyday life. Whether you are translating specifications from international manuals, completing homework, or planning a project, having an accurate rad to deg calculation ensures your measurements are correct.

The Radian is a unit of angle. One Radian equals 57.29577951 deg in this converter's base scale.

The Degree is also a angle unit. One Degree equals 1 deg in the same base scale.

Precision and Rounding: When converting Radian to Degree, you may encounter long decimal numbers. For most practical purposes, rounding to two or three decimal places is sufficient. However, for machining, scientific research, or strict engineering tolerances, you should maintain as much precision as possible before your final calculation.

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, °.

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