How to use this converter
- Enter value, from, to.
- Select Calculate to view the result.
- Check the method and assumptions below before using the result.
Input reference and sample values
Use the units and choices shown for each field. Sample values are provided for practice, not as recommendations.
| Input | Format and units | Sample |
|---|---|---|
| Value | Numeric value. | 1 |
| From | Choose degree / radian / turn / gradian. | degree |
| To | Choose degree / radian / turn / gradian. | radian |
Result for these sample inputs
0.0174532925 radian
- Conversion factor
- 0.0174532925
Select Try the example in the form to load these values and calculate them again. This replaces the current form inputs. Compare the result with the method and worked explanation below.
The method, explained
Convert to the base unit, then divide by the target factor. One full turn is 360 degrees, 2π radians or 400 gradians.
180 degrees = π radians = 0.5 turns.
What to keep in mind
Negative and multi-turn angles are preserved; the result is not normalized into a single rotation.
Common questions
Does it wrap 450 degrees to 90?
No. It preserves the full angle; 450 degrees equals 1.25 turns.
What is a radian?
An angle of one radian subtends an arc equal in length to the circle radius.
Methodology maintained by ClarityKit. How these tools are built and checked.