Table Of Contents
Degrees to radians Conversion
1 degrees (deg) is equal to 0.01745329252 radians (rad).
1 deg = 0.01745329252 rad
or
1 rad = 57.29577951 deg
Formula
To convert a angle from degrees (deg) to radians (rad), divide the angle in degrees by 57.29577951
a(rad) = a(deg) / 57.29577951
Examples:
Convert 45 degrees to radians:
a(rad) = 45deg / 57.29577951 = 0.7853981634 rad
Conversion table
| Degrees (deg) | Radians (rad) |
|---|---|
| 1 deg | 0.017453293 rad |
| 2 deg | 0.034906585 rad |
| 3 deg | 0.052359878 rad |
| 5 deg | 0.087266463 rad |
| 10 deg | 0.174532925 rad |
| 15 deg | 0.261799388 rad |
| 20 deg | 0.34906585 rad |
| 25 deg | 0.436332313 rad |
| 30 deg | 0.523598776 rad |
| 45 deg | 0.785398163 rad |
| 50 deg | 0.872664626 rad |
| 60 deg | 1.047197551 rad |
| 90 deg | 1.570796327 rad |
| 180 deg | 3.141592654 rad |
| 360 deg | 6.283185307 rad |
| Radians (rad) | Degrees (deg) |
|---|---|
| 1 rad | 57.295779513 deg |
| 2 rad | 114.591559026 deg |
| 3 rad | 171.887338539 deg |
| 5 rad | 286.478897565 deg |
| 10 rad | 572.957795131 deg |
| 15 rad | 859.436692696 deg |
| 20 rad | 1145.915590262 deg |
| 25 rad | 1432.394487827 deg |
| 30 rad | 1718.873385392 deg |
| 45 rad | 2578.310078089 deg |
| 50 rad | 2864.788975654 deg |
| 60 rad | 3437.746770785 deg |
| 90 rad | 5156.620156177 deg |
| 180 rad | 10313.240312355 deg |
| 360 rad | 20626.48062471 deg |
Frequently asked questions
How do I convert degrees to radians?
Divide the value in degrees by 57.29577951 to get the result in radians. For example, 5 deg ÷ 57.29577951 = 0.087266463 rad.
How many radians are in 1 degrees?
1 degrees (deg) is equal to 0.017453293 radians (rad).
How do I convert radians back to degrees?
Use the inverse operation: multiply the value in radians by 57.29577951 to get the result in degrees.
How accurate is the degrees to radians conversion?
The converter multiplies by the conversion factor 57.29577951 and rounds the result to 9 decimal places by default. You can increase or reduce the precision with the digits option on this page.
Sources
Conversion factors are based on internationally recognised standards:
