Radians to Degrees Converter
Convert radians to degrees for trigonometry, geometry, physics, and programming work. Includes a clear formula, example table, values from 1 to 1000, and related unit converters.
Popular Radians to Degrees Values
Related Converters
Radians to Degrees Conversion
Radians to Degrees is a quick way to move between radians and degrees without guessing or rounding too early. The calculator shows the answer instantly, while the formula and examples make it easier to check the number in real use.
What is 1 radian in degrees?
1 radian is 57.2958 degrees. This answer uses the same formula as the calculator above, so you can change the input value and compare nearby conversions without leaving the page.
Formula
For this conversion, use: degrees = radians x 180 / pi. Enter any value above and the calculator applies the same formula automatically.
Radians to Degrees Examples
The examples below stay close to common values so you can compare your number with nearby conversions and spot-check the result quickly.
| Radians | Degrees |
|---|---|
| 0.5 radians | 28.6479 degrees |
| 1 radian | 57.2958 degrees |
| 1.5 radians | 85.9437 degrees |
| 2 radians | 114.5916 degrees |
| 3 radians | 171.8873 degrees |
| 3.1416 radians | 180.0004 degrees |
| 4 radians | 229.1831 degrees |
| 5 radians | 286.4789 degrees |
| 6.2832 radians | 360.0008 degrees |
| 10 radians | 572.9578 degrees |
About Radians
Radians are standard in higher math, trigonometry, programming libraries, physics formulas, and engineering calculations.
About Degrees
Degrees are common for geometry, maps, rotations, slopes, compass bearings, design tools, and angle measurements.
Why Radians to Degrees Matters
Angle conversions are common in geometry, trigonometry, physics, engineering, programming, rotations, maps, and design tools. Helpful when a calculator, code library, or formula gives radians but the angle is easier to read in degrees.
Common Uses
Use it for geometry, trigonometry, rotations, maps, navigation, slopes, programming, physics, and design tools.
How to Read the Result
Read the result as a direct comparison between radians and degrees. The calculator keeps the formula visible, so you can confirm whether the answer needs a rounded everyday value or a more precise decimal value.
When This Conversion Helps
Helpful when a calculator, code library, or formula gives radians but the angle is easier to read in degrees. Use the quick values above for common examples, or enter any custom number directly in the calculator.
Common Mistake to Avoid
The common mistake is rounding too early or copying the wrong unit label. Keep the unit with the number, then round only after the final result is clear.
Accuracy and Rounding
For most everyday uses, the rounded result is enough. When the number is used for engineering, ordering parts, medical records, legal documents, or safety-critical work, keep more decimal places and confirm the required standard.
Quick Check
If the number only needs to be approximate, you can use a rounded mental estimate. When the exact result matters for a label, order, assignment, workout, measurement sheet, or technical note, use the calculated value shown above and keep the formula visible for verification.