Radians to Degrees
Convert radians to degrees instantly. 1 rad = 57.2957795131 °. Includes the exact factor, a conversion table of common values and the definition of both units.
How to convert radians to degrees
To convert radians to degrees, multiply by 57.2957795131. The relationship is fixed, so the same factor works for any quantity — there is nothing to look up and nothing that changes with temperature, location or context.
° = rad × 57.2957795131
Radians to Degrees conversion table
The values people look up most often, rounded for reading. Use the calculator above for anything in between.
| Radians | Degrees |
|---|---|
| 1 rad | 57.29578 ° |
| 2 rad | 114.591559 ° |
| 3 rad | 171.887339 ° |
| 5 rad | 286.478898 ° |
| 10 rad | 572.957795 ° |
| 20 rad | 1,145.92 ° |
| 25 rad | 1,432.39 ° |
| 50 rad | 2,864.79 ° |
| 100 rad | 5,729.58 ° |
| 500 rad | 28,647.89 ° |
| 1,000 rad | 57,295.78 ° |
What is a radian?
The SI angle unit: the angle subtending an arc equal to the radius.
What is a degree?
A 360th of a circle, inherited from Babylonian astronomy.
The formula
° = rad × 57.2957795131
Every result on this page comes from this formula. Nothing is rounded until the final display, so figures match a spreadsheet to the cent.
How to use the Radians to Degrees
- Type the number of radians you want to convert.
- Read the result in degrees straight away — there is no button to press.
- Check the table below for the values that come up most often, or reverse the conversion with the linked degrees to radians page.
Radians to Degrees — frequently asked questions
How many degrees are in a radian?
One radian equals 57.2957795131 °. ° = rad × 57.2957795131
What is the formula to convert radians to degrees?
The formula is ° = rad × 57.2957795131. It is an exact definition rather than an approximation, so the conversion never drifts no matter how large the number.
How do I convert degrees back to radians?
Divide instead of multiplying: one degree is 0.0174532925 rad. The reverse converter is linked in the related tools list.
Is this conversion exact?
Yes. Both units are defined against the same base unit by international agreement, so the factor is exact — any rounding you see is only in the display, which you can widen by entering more decimal places.
Is this radians to degrees free to use?
Yes. Every calculator on the site is free, needs no sign-up, and runs entirely in your browser, so your figures never leave your device.
What people search for
This page answers each of these searches. They are the exact phrases visitors use to find the radians to degrees.
- radians to degrees
- 1 radian to degrees
- how many degrees in a radian
- rad2°
- radians in degrees
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About this calculator
Written and reviewed by The Samsung Calculator editorial team. Every calculator is written against a published formula, reviewed against at least one independent reference implementation, and dated when it changes.
Last reviewed August 19, 2026 · Calculation runs client-side · No data collected · Report an error