radians to degrees | Exact Decimal + Formula
1 Radian = 57.29578 Degree
Radians to degrees is used constantly by programmers, engineers, and students converting calculator or code output into everyday angles.
About Radian and Degree
Radian (rad)
A radian is the angle subtended by an arc equal to the circle's radius; a full circle is 2π radians.
Where it's used: Calculus, physics, and programming trigonometry functions.
Degree (°)
A degree is 1/360 of a full rotation.
Where it's used: Geometry, navigation, roof pitches, and everyday angle measurement.
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Formula
° = rad × 57.295779513
To convert Radian to Degree, use the formula displayed above.
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Radian to Degree: Quick Reference Table
| Radian | Degree (Decimal) | Fraction |
|---|---|---|
| 0.001 rad | 0.057296 ° | - |
| 0.01 rad | 0.572958 ° | - |
| 0.1 rad | 5.729578 ° | - |
| 0.5 rad | 28.64789 ° | - |
| 1 rad | 57.29578 ° | - |
| 2 rad | 114.591559 ° | - |
| 5 rad | 286.478898 ° | - |
| 10 rad | 572.957795 ° | - |
| 25 rad | 1432.394488 ° | - |
| 50 rad | 2864.788976 ° | - |
| 100 rad | 5729.577951 ° | - |
| 250 rad | 14323.944878 ° | - |
| 500 rad | 28647.889757 ° | - |
| 1000 rad | 57295.779513 ° | - |
rad to ° Formula and Examples
Direct Formula
° = rad × 57.295779513 Inverse Formula
rad = ° × 0.017453 Mental Math Shortcut
Multiply the value by roughly 57.3 to calculate the equivalent amount in your head.
Common Radian to Degree Calculations
- 5 rad = 286.478898 °
- 10 rad = 572.957795 °
- 50 rad = 2864.788976 °
- 100 rad = 5729.577951 °
- 500 rad = 28647.889757 °
Precision & Practical Use
For example, 10 rad = 572.957795 ° — roughly multiple unit increments.
Results are computed to up to 9 decimal places. Round to the precision of your measuring instrument — for most angle applications, 2–3 significant figures are plenty.
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How to Convert Radian to Degree
How many degrees are in one radian?
One Radian (rad) equals 57.29578 Degree (°). To convert radians to degrees, multiply the radian value by 57.29578.
How do I convert Radian to Degree?
Multiply your radian value by 57.29578 to get the result in Degree: ° = rad × 57.29578. For example, 5 rad = 286.478898 °.
What is the formula for converting rad to °?
The conversion formula is ° = rad × 57.29578. Use the calculator above for any value, and see the reference table below for common inputs from 0.001 to 1000.
Is there a quick mental estimate for rad to °?
Multiply the value by roughly 57.3 to calculate the equivalent amount in your head.
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