Use this free, accurate degree to radian calculator to convert between Degree (°) and Radian (rad). Includes live instant results, complete mathematical formulas, conversion tables, and step-by-step examples.
0.0174532925 Radian
1 ° is equal to 0.017453 rad.
rad = ° × 0.01745329
angle Converters
To convert from Degree to Radian, multiply the value in Degree by 0.017453 (or use the formula: rad = ° × 0.017453).
Take your initial measurement in Degree (°). For instance, let's convert 1 °.
Multiply by the standard conversion factor (0.017453).
The final converted measurement equals 0.017453 Radian (rad).
Compare standard reference values and common conversion benchmarks.
| Degree (°) | Radian (rad) | Action |
|---|---|---|
| 1 ° | 0.01745 rad | |
| 2 ° | 0.03491 rad | |
| 3 ° | 0.05236 rad | |
| 5 ° | 0.08727 rad | |
| 10 ° | 0.17453 rad | |
| 15 ° | 0.2618 rad | |
| 20 ° | 0.34907 rad | |
| 25 ° | 0.43633 rad | |
| 50 ° | 0.87266 rad | |
| 75 ° | 1.309 rad | |
| 100 ° | 1.74533 rad | |
| 250 ° | 4.36332 rad | |
| 500 ° | 8.72665 rad | |
| 1000 ° | 17.45329 rad |
Official standards, measurement systems, and real-world everyday applications.
A degree is a measurement of plane angle defined such that a full rotation is 360 degrees.
Common Practical Uses
A radian is the SI base unit for measuring angles, where 2π radians equal a full 360-degree circle.
Common Practical Uses
Calculate from Radian (rad) back to Degree (°).
Frequently used unit conversions in this category:
Explore other measurement and calculation tools:
There are 0.017453 radians in 1 degrees. Exactly 1 ° is equal to 0.017453 rad.
The conversion formula is: Radian = rad = ° × 0.01745329. Applying this to 1 ° gives: 1 × 0.017453 = 0.017453 rad.
To convert in reverse from radians to degrees, multiply by the inverse factor: 1 rad = 57.29578 °. Alternatively, divide your Radian amount by 0.017453.
To calculate in your head, round the conversion multiplier (0.02) to the nearest easy whole or decimal number.
Degree (°) belongs to the Standard system, commonly used in Geometry, Navigation compass bearings, Astronomy. In comparison, Radian (rad) is part of the Metric (SI) system, frequently applied in Calculus, Trigonometry, Physics.
Key milestones include: 1 ° = 0.017453 rad, 5 ° = 0.0873 rad, 10 ° = 0.1745 rad, 50 ° = 0.8727 rad, and 100 ° = 1.7453 rad.