Convert Radian to Degree
Live bidirectional calculator for Radians (rad) and Degrees (°) with verified formula and conversion charts.
Angle7 units
How the Calculation Works (Linear Scaling)
Since 1 Radian = 57.29578 Degrees, multiply the value in Radians by 57.29578.
Radian to Degree Conversion Table
Precomputed values for quick reference and printing.
| Radian | Degree |
|---|---|
| 1 rad | 57.2958 ° |
| 2 rad | 114.5916 ° |
| 3 rad | 171.8873 ° |
| 4 rad | 229.1831 ° |
| 5 rad | 286.4789 ° |
| 6 rad | 343.7747 ° |
| 7 rad | 401.0705 ° |
| 8 rad | 458.3662 ° |
| 9 rad | 515.662 ° |
| 10 rad | 572.9578 ° |
| 15 rad | 859.4367 ° |
| 20 rad | 1145.9156 ° |
| 25 rad | 1432.3945 ° |
| 30 rad | 1718.8734 ° |
| 40 rad | 2291.8312 ° |
| 50 rad | 2864.789 ° |
| 75 rad | 4297.1835 ° |
| 100 rad | 5729.578 ° |
| Degree | Radian |
|---|---|
| 1 ° | 0.0175 rad |
| 2 ° | 0.0349 rad |
| 3 ° | 0.0524 rad |
| 4 ° | 0.0698 rad |
| 5 ° | 0.0873 rad |
| 6 ° | 0.1047 rad |
| 7 ° | 0.1222 rad |
| 8 ° | 0.1396 rad |
| 9 ° | 0.1571 rad |
| 10 ° | 0.1745 rad |
| 15 ° | 0.2618 rad |
| 20 ° | 0.3491 rad |
| 25 ° | 0.4363 rad |
| 30 ° | 0.5236 rad |
| 40 ° | 0.6981 rad |
| 50 ° | 0.8727 rad |
| 75 ° | 1.309 rad |
| 100 ° | 1.7453 rad |
📌 Standard Benchmark Reference Values
Fundamental straight-angle planar relationship.
Exact RatioAbout Radian (rad)
The SI coherent derived unit of plane angle, subtended by an arc of length equal to its radius (180° / π ≈ 57.29578°).
History: Coined by mathematician James Thomson in 1873; fundamental to mathematical analysis and trigonometry.
Common Uses: Calculus, angular velocity (rad/s), physics orbital mechanics.
About Degree (°)
A unit of plane angular measurement equal to 1/360 of a full turn (π / 180 radians).
History: Traced to ancient Babylonian astronomers dividing the celestial circle into 360 days/degrees.
Common Uses: Everyday compass geometry, map coordinates (latitude/longitude), navigation.
❓ Frequently Asked Questions
How many Degrees are in 1 Radian?
There are exactly 57.29578 Degrees in 1 Radian (1 rad = 57.29578 °).
What is the formula to convert Radian to Degree?
The formula is: Degree = Radian × 57.29578. Since 1 Radian = 57.29578 Degrees, multiply the value in Radians by 57.29578.
How do I convert 1 rad to ° manually?
To convert 1 rad to °: apply the formula Degree = Radian × 57.29578. Substituting gives: 1 × 57.29578 = 57.2958 °.