Convert Radian to Degree (rad to deg)
Instant precision conversion from Radian (rad) to Degree (deg) in Angle.
⚡ Direct Answer: 1 rad to deg
1 Radian (rad) equals approximately 57.29578 Degree (deg).
To convert from Radian to Degree, multiply the quantity by approximately 57.29578 (or divide by approximately 0.017453).
📐 How Radian (rad) and Degree (deg) Relate
In metrology, angle quantifies planar angular separation and circular rotation. Within this domain, Radian (rad) and Degree (deg) originate from Sexagesimal degrees (360°), radians ($2\pi$), gradians (400 gon), and arcminutes. Standardized under ISO 80000-3 with $\pi$ radians spanning a 180-degree half-circle.
Because both Radian and Degree belong to the linear angle domain, conversion between them is strictly proportional. The exact conversion factor (57.29577951) guarantees zero precision drift across mathematical calculations.
🎯 Common Practical Applications
Scientific Calculator Inverse Trigonometry
Converting inverse trigonometric calculations (`atan2`, `asin`) back into intuitive degrees.
CAD Drafting & Mechanical Schematics
Displaying angular dimensions and chamfer angles on mechanical fabrication blueprints.
Maritime & Aviation Compass Navigation
Translating mathematical orientation vectors into standard compass degrees.
Reverse Conversion Option
Looking to calculate the reverse direction? Switch directly to our dedicated Degree to Radian converter.
Radian to Degree Conversion Table (1 to 1000)
| Radian (rad) | Degree (deg) | Degree (deg) | Radian (rad) |
|---|---|---|---|
| 1 rad | 57.29578 deg | 1 deg | 0.017453 rad |
| 2 rad | 114.591559 deg | 2 deg | 0.034907 rad |
| 3 rad | 171.887339 deg | 3 deg | 0.05236 rad |
| 5 rad | 286.478898 deg | 5 deg | 0.087266 rad |
| 10 rad | 572.957795 deg | 10 deg | 0.174533 rad |
| 15 rad | 859.436693 deg | 15 deg | 0.261799 rad |
| 20 rad | 1145.91559 deg | 20 deg | 0.349066 rad |
| 25 rad | 1432.394488 deg | 25 deg | 0.436332 rad |
| 50 rad | 2864.788976 deg | 50 deg | 0.872665 rad |
| 75 rad | 4297.183463 deg | 75 deg | 1.308997 rad |
| 100 rad | 5729.577951 deg | 100 deg | 1.745329 rad |
| 250 rad | 14323.944878 deg | 250 deg | 4.363323 rad |
| 500 rad | 28647.889757 deg | 500 deg | 8.726646 rad |
| 1000 rad | 57295.779513 deg | 1000 deg | 17.453293 rad |
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Frequently Asked Questions
How many Degree in 1 Radian?
1 Radian (rad) equals approximately 57.29578 Degree (deg). 1 Degree (deg) equals approximately 0.017453 Radian (rad). Formula: rad ≈ deg × 0.01745329.
How to convert Radian to Degree?
To convert from Radian to Degree, multiply the quantity by approximately 57.29578 (or divide by approximately 0.017453). Mathematical formula: deg ≈ rad × 57.29577951.
What is an example calculation converting Radian to Degree?
To convert 10 Radian to Degree: multiply 10 by the conversion factor 57.29578 to get approximately 572.9578 Degree (deg).
How to convert back from Degree to Radian?
To convert from Degree to Radian, multiply by the inverse factor 0.017453 (or divide by 57.29578). Formula: rad = deg × 0.01745329.