1 degrees to radians
0.0175 rad
1° = 0.0175 rad.
radians
0.0175rad
1° = 0.0175 rad
In short
How many radians is 1 degrees?
1° = 0.0175 rad. 1 degree = 0.017453 radians, so the working is 1 × 0.017453 = 0.0175.
The working
The factor below is an exact definition rather than a measurement, so nothing is approximated in the arithmetic. The only rounding on this page happens where a number is displayed.
1 degree = 0.017453 radians 1 × 0.017453 = 0.0175
How much precision do you need?
Each row is the same answer cut at a different number of decimals, with what that choice costs you. Pick the shortest row whose error is smaller than whatever you are measuring with.
| Rounded to | Answer (rad) | Off by |
|---|---|---|
| Whole number | 0 | −0.01745 |
| 1 decimal | 0.0 | −0.01745 |
| 2 decimals | 0.02 | +0.00255 |
Round trip: take 0.0175 rad back the other way and you land on 1.0027° — a drift of 0.0027°. That gap is the rounding, not the conversion.
Frequently asked questions
What is 1 degrees in radians?
1 degrees is 0.0175 radians. 1 degree = 0.017453 radians, so the working is 1 × 0.017453 = 0.0175.
How accurate is 0.0175 rad?
Rounding to 0.0175 rad and converting straight back gives 1.0027°, a drift of 0.0027° from the 1 you started with. The factor itself is exact; every bit of that difference comes from the rounding, not the conversion.
Nearby values
Any value at all
Degrees to Radians Converter
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