Radians to Degrees Conversion
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Radians
rad
Result
Calculation steps
About Radians to Degrees
This page converts radians to degrees instantly, with a clear formula, worked examples, and a quick reference table.
Angle conversions are common in math, engineering, navigation, surveying, CAD, and astronomy—different fields prefer different angle units.
Quick context
Degrees (°) are the most common human-friendly angle unit. They’re used in geometry, navigation, CAD drawings, and everyday rotation measurements because a full circle is 360°.
People often convert radians to degrees to interpret angles more intuitively (degrees are easier to visualize), especially when reading results from math/physics formulas or software outputs.
Formula: Radians to Degrees
Degrees = Radians × 57.295779513082Worked examples
Convert 0.5 Radians to Degrees
- Start with: 0.5 Radians.
- Use: Degrees = Radians × 57.295779513082.
- Compute: 0.5 × 57.295779513082 = 28.647889756541.
- Answer: 28.647889756541 Degrees.
Convert 1 Radians to Degrees
- Start with: 1 Radians.
- Use: Degrees = Radians × 57.295779513082.
- Compute: 1 × 57.295779513082 = 57.295779513082.
- Answer: 57.295779513082 Degrees.
Convert 1.5707963267948966 Radians to Degrees
- Start with: 1.5707963267948966 Radians.
- Use: Degrees = Radians × 57.295779513082.
- Compute: 1.5707963267948966 × 57.295779513082 = 90.
- Answer: 90 Degrees.
Convert 3.141592653589793 Radians to Degrees
- Start with: 3.141592653589793 Radians.
- Use: Degrees = Radians × 57.295779513082.
- Compute: 3.141592653589793 × 57.295779513082 = 180.
- Answer: 180 Degrees.
Conversion table
| Radians | Degrees |
|---|---|
| 0 | 0 |
| 0.5 | 28.647889756541 |
| 1 | 57.295779513082 |
| 0.523598775598 | 30 |
| 0.785398163397 | 45 |
| 1.570796326795 | 90 |
| 3.14159265359 | 180 |
| 6.28318530718 | 360 |
FAQs
What is the formula to convert radians to degrees?
Multiply the value in radians by 57.295779513082 to get degrees. In short: Degrees = Radians × 57.295779513082.
Why would I convert radians to degrees?
Radians are common in formulas and software outputs, but degrees are easier to interpret visually. Converting to degrees helps you understand the angle quickly (e.g., 90°, 180°).
How many degrees are in 1 radian?
1 radian is approximately 57.295779513082 degrees.
My calculator shows a wrong result — what should I check?
Check whether your calculator or app is set to radians or degrees. If you input radians while the calculator expects degrees (or vice versa), results will look incorrect.
Is degree an SI unit?
The SI standard for plane angle is the radian (rad). Degrees are still widely used in everyday geometry, navigation, and many engineering contexts.