Convert Degree to Radian
Live bidirectional calculator for Degrees (°) and Radians (rad) with verified formula and conversion charts.
Angle7 units
How the Calculation Works (Linear Scaling)
Since 1 Radian = 57.29578 Degrees, divide the value in Degrees by 57.29578.
Degree to Radian Conversion Table
Precomputed values for quick reference and printing.
| 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 |
| 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 ° |
📌 Standard Benchmark Reference Values
Fundamental straight-angle planar relationship.
Exact RatioAbout 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.
About 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.
❓ Frequently Asked Questions
How many Radians are in 1 Degree?
There are exactly 0.017453 Radians in 1 Degree (1 ° = 0.017453 rad).
What is the formula to convert Degree to Radian?
The formula is: Radian = Degree / 57.29578. Since 1 Radian = 57.29578 Degrees, divide the value in Degrees by 57.29578.
How do I convert 1 ° to rad manually?
To convert 1 ° to rad: apply the formula Radian = Degree / 57.29578. Substituting gives: 1 / 57.29578 = 0.0175 rad.