Angles & Geometry calculator
Degrees to Radians Converter
Convert degrees (deg) to radians (rad) with the exact angle formula, worked examples, and a common-values table.
Exact conversion
Degrees to radians formula
rad = deg × 0.0174532925
1 deg equals 0.0174532925 rad. 10 deg equals 0.174532925 rad.
About these units
- deg
- Degrees, the most common angle unit.
- rad
- Radians, common in math and programming.
Before you use the result
deg to rad 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 deg converts to 0.0174532925 rad. Use this known value to sanity-check a spreadsheet, homework solution, spec sheet, or manual calculation.
Common deg to rad conversion table
| deg | rad |
|---|---|
| 1 deg | 0.0174532925 rad |
| 5 deg | 0.0872664626 rad |
| 10 deg | 0.174532925 rad |
| 25 deg | 0.436332313 rad |
| 50 deg | 0.872664626 rad |
| 100 deg | 1.74532925 rad |
FAQ8 common questions for this calculator.
FAQs
How do I convert degrees to radians?+
Use this formula: rad = deg × 0.0174532925. Enter the deg value and the calculator applies the relationship immediately.
How many rad are in 1 deg?+
1 deg equals 0.0174532925 rad.
What is 10 deg in rad?+
10 deg equals 0.174532925 rad. The displayed result may be rounded, while the calculator keeps full precision internally.
Can I convert radians back to degrees?+
Yes. Use Swap in the converter to reverse the units and calculate rad to deg.
How does the Degrees to Radians Converter calculate the result?+
For the Degrees to Radians Converter, it uses the Degrees to radians formula: rad = deg × 0.0174532925. 1 deg equals 0.0174532925 rad. 10 deg equals 0.174532925 rad.
What information do I need to use the Degrees to Radians Converter?+
Enter the values requested by the form, keep units consistent, and use the displayed assumptions to decide whether the Degrees to Radians Converter matches your scenario.
How accurate is the Degrees to Radians Converter?+
Degrees to Radians Converter is accurate for the values and assumptions entered on this page. It uses the Degrees to radians formula. Recheck the inputs before relying on the estimate.
What should I check before using the Degrees to Radians Converter result?+
For the Degrees to Radians 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.
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How to use the Degrees to Radians Converter
Convert degrees (deg) to radians (rad) with the exact angle formula, worked examples, and a common-values table. Use the instant result for the degrees to radians conversion, then check the common-value table, reverse link, and unit notes before copying the answer.
- 1
Enter Degrees
Type the degrees value you want to convert. Decimal values work when you need a partial unit.
- 2
Read Radians
Use the main result for the exact radians value, then scan the common-value table for nearby reference points.
- 3
Confirm Degrees to Radians
Confirm the degrees to radians unit symbols before using the number in a report, product listing, invoice, or assignment.