Angle calculator
Radians to Degrees Converter
Convert radians (rad) to degrees (deg) with the exact angle formula, worked examples, and a common-values table.
Exact conversion
Radians to degrees formula
deg = rad × 57.2957795
1 rad equals 57.2957795 deg. 10 rad equals 572.957795 deg.
About these units
- rad
- Radians, common in math and programming.
- deg
- Degrees, the most common angle unit.
Before you use the result
rad to deg context and checks
- Best use
- Use angle conversions for geometry, surveying, machining, slope, and navigation notes where the source is a rotation or bearing.
- Common mistake
- Do not mix angular units with percent grade unless the page explicitly handles the tangent relationship.
- Precision note
- Keep extra digits until the final result because small angle differences can matter in layout, optics, and slope work.
Example check: 1 rad converts to 57.2957795 deg. Use this known value to sanity-check a spreadsheet, homework solution, spec sheet, or manual calculation.
Common rad to deg conversion table
| rad | deg |
|---|---|
| 1 rad | 57.2957795 deg |
| 5 rad | 286.478898 deg |
| 10 rad | 572.957795 deg |
| 25 rad | 1432.39449 deg |
| 50 rad | 2864.78898 deg |
| 100 rad | 5729.57795 deg |
FAQ8 common questions for this calculator.
FAQs
How do I convert radians to degrees?+
Use this formula: deg = rad × 57.2957795. Enter the rad value and the calculator applies the relationship immediately.
How many deg are in 1 rad?+
1 rad equals 57.2957795 deg.
What is 10 rad in deg?+
10 rad equals 572.957795 deg. The displayed result may be rounded, while the calculator keeps full precision internally.
Can I convert degrees back to radians?+
Yes. Use Swap in the converter to reverse the units and calculate deg to rad.
How does the Radians to Degrees Converter calculate the result?+
For the Radians to Degrees Converter, it uses the Radians to degrees formula: deg = rad × 57.2957795. 1 rad equals 57.2957795 deg. 10 rad equals 572.957795 deg.
What information do I need to use the Radians to Degrees Converter?+
Enter the values requested by the form, keep units consistent, and use the displayed assumptions to decide whether the Radians to Degrees Converter matches your scenario.
How accurate is the Radians to Degrees Converter?+
Radians to Degrees Converter is accurate for the values and assumptions entered on this page. It uses the Radians to degrees formula. Recheck the inputs before relying on the estimate.
What should I check before using the Radians to Degrees Converter result?+
For the Radians to Degrees Converter, check that the units, inputs, and assumptions match your situation. Change one input at a time to understand which values have the largest effect on the result.
RelatedNearby angle converters that share units or direction.
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How to use the Radians to Degrees Converter
Convert radians (rad) to degrees (deg) with the exact angle formula, worked examples, and a common-values table. Use the instant result for the radians to degrees conversion, then check the common-value table, reverse link, and unit notes before copying the answer.
- 1
Enter Radians
Type the radians value you want to convert. Decimal values work when you need a partial unit.
- 2
Read Degrees
Use the main result for the exact degrees value, then scan the common-value table for nearby reference points.
- 3
Confirm Radians to Degrees
Confirm the radians to degrees unit symbols before using the number in a report, product listing, invoice, or assignment.