Degrees to Radians (° to rad)
Free online degree to radian converter. Type a value, get an instant exact result — plus the formula, a ready-made conversion table, and reverse conversion.
ANGLE CONVERTER — INSTANT RESULT
Formula: multiply the degree value by 0.017453293 — i.e. rad = ° × 0.017453293
Quick check: 1 ° = 0.017453293 rad
Quick check: 1 ° = 0.017453293 rad
Degrees to Radians conversion table
| Degrees (°) | Radians (rad) |
|---|---|
| 1 ° | 0.017453293 rad |
| 2 ° | 0.034906585 rad |
| 3 ° | 0.052359878 rad |
| 4 ° | 0.06981317 rad |
| 5 ° | 0.087266463 rad |
| 6 ° | 0.10471976 rad |
| 7 ° | 0.12217305 rad |
| 8 ° | 0.13962634 rad |
| 9 ° | 0.15707963 rad |
| 10 ° | 0.17453293 rad |
| 15 ° | 0.26179939 rad |
| 20 ° | 0.34906585 rad |
| 25 ° | 0.43633231 rad |
| 30 ° | 0.52359878 rad |
| 40 ° | 0.6981317 rad |
| 50 ° | 0.87266463 rad |
| 75 ° | 1.30899694 rad |
| 100 ° | 1.74532925 rad |
| 250 ° | 4.36332313 rad |
| 500 ° | 8.72664626 rad |
| 1,000 ° | 17.45329252 rad |
How to convert degrees to radians
To convert degrees to radians, multiply the amount in degrees by 0.017453293. For example, 10 ° = 0.17453293 rad. To convert in the other direction, divide by the same factor, or use the ⇄ swap button above.
Convert between degrees, radians, gradians and arcminutes. A full circle is 360° = 2π rad = 400 gon; one degree equals π/180 radians exactly.
Frequently asked questions
How many radians are in one degree?
One degree is exactly 0.017453293 radians.
How do I convert ° to rad?
Multiply the ° value by 0.017453293 to get rad. The converter at the top of this page does this automatically and works in both directions.
How much is 100 degrees in radians?
100 degrees equals 1.74532925 radians.