Angle & Geometry Converter
Degrees to Radians Converter
Convert planar geometry angles from degrees (°) to radians (rad) with exact π factors.
Angle & Geometry
(°)
Example: 90 °
(rad)
e.g. 1.5708rad
Standard: π rad = 180° (1 rad ≈ 57.2958°)
Enter any number above to convert Degrees to Radians. Click (i) for brief unit info.
Converting the other way?
Switch directly to the reverse calculator: Radians to Degrees Converter
How to Convert Degree to Radian
Official Mathematical Formula
radians = degrees × (π ÷ 180)
Where the input value in ° is transformed using the exact standardized conversion factor to produce the output in rad.
Practical Calculation Example
You can verify this calculation directly using our interactive tool above.
Quick Conversion Reference Table (° → rad)
Degree (°) | Radian (rad) | Copy |
|---|---|---|
| 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 ° | 17.4533 rad |
Degree to Radian FAQs
Radians are a natural dimensionless mathematical unit derived directly from the ratio of an arc length to the circle radius.