Convert Degree to Radian (deg to rad)
Instant precision conversion from Degree (deg) to Radian (rad) in Angle.
⚡ Direct Answer: 1 deg to rad
1 Degree (deg) equals approximately 0.017453 Radian (rad).
To convert from Degree to Radian, multiply the quantity by approximately 0.017453 (or divide by approximately 57.29578).
📐 How Degree (deg) and Radian (rad) Relate
In metrology, angle quantifies planar angular separation and circular rotation. Within this domain, Degree (deg) and Radian (rad) 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 Degree and Radian belong to the linear angle domain, conversion between them is strictly proportional. The exact conversion factor (0.01745329) guarantees zero precision drift across mathematical calculations.
🎯 Common Practical Applications
Computer Graphics & Game Development
Passing rotational angles into trigonometric functions (`Math.sin`, `Math.cos`) in 3D graphics engines.
Robotics Kinematics & Motion Planning
Calculating robotic arm joint angle rotations and end-effector coordinate transformations.
Physics & Orbital Mechanics Simulations
Computing satellite orbital trajectories, centripetal acceleration, and angular momentum.
Reverse Conversion Option
Looking to calculate the reverse direction? Switch directly to our dedicated Radian to Degree converter.
Degree to Radian Conversion Table (1 to 1000)
| Degree (deg) | Radian (rad) | Radian (rad) | Degree (deg) |
|---|---|---|---|
| 1 deg | 0.017453 rad | 1 rad | 57.29578 deg |
| 2 deg | 0.034907 rad | 2 rad | 114.591559 deg |
| 3 deg | 0.05236 rad | 3 rad | 171.887339 deg |
| 5 deg | 0.087266 rad | 5 rad | 286.478898 deg |
| 10 deg | 0.174533 rad | 10 rad | 572.957795 deg |
| 15 deg | 0.261799 rad | 15 rad | 859.436693 deg |
| 20 deg | 0.349066 rad | 20 rad | 1145.91559 deg |
| 25 deg | 0.436332 rad | 25 rad | 1432.394488 deg |
| 50 deg | 0.872665 rad | 50 rad | 2864.788976 deg |
| 75 deg | 1.308997 rad | 75 rad | 4297.183463 deg |
| 100 deg | 1.745329 rad | 100 rad | 5729.577951 deg |
| 250 deg | 4.363323 rad | 250 rad | 14323.944878 deg |
| 500 deg | 8.726646 rad | 500 rad | 28647.889757 deg |
| 1000 deg | 17.453293 rad | 1000 rad | 57295.779513 deg |
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Frequently Asked Questions
How many Radian in 1 Degree?
1 Degree (deg) equals approximately 0.017453 Radian (rad). 1 Radian (rad) equals approximately 57.29578 Degree (deg). Formula: deg ≈ rad × 57.29577951.
How to convert Degree to Radian?
To convert from Degree to Radian, multiply the quantity by approximately 0.017453 (or divide by approximately 57.29578). Mathematical formula: rad ≈ deg × 0.01745329.
What is an example calculation converting Degree to Radian?
To convert 10 Degree to Radian: multiply 10 by the conversion factor 0.017453 to get approximately 0.1745 Radian (rad).
How to convert back from Radian to Degree?
To convert from Radian to Degree, multiply by the inverse factor 57.29578 (or divide by 0.017453). Formula: deg = rad × 57.29577951.