10 degrees to radians
0.1745 rad
10° = 0.1745 rad.
radians
0.1745rad
10° = 0.1745 rad
In short
How many radians is 10 degrees?
10° = 0.1745 rad. 1 degree = 0.017453 radians, so the working is 10 × 0.017453 = 0.1745.
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 10 × 0.017453 = 0.1745
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 | −0.17453 |
| 1 decimal | 0.2 | +0.02547 |
| 2 decimals | 0.17 | −0.00453 |
Round trip: take 0.1745 rad back the other way and you land on 9.9981° — a drift of 0.0019°. That gap is the rounding, not the conversion.
Frequently asked questions
What is 10 degrees in radians?
10 degrees is 0.1745 radians. 1 degree = 0.017453 radians, so the working is 10 × 0.017453 = 0.1745.
How accurate is 0.1745 rad?
Rounding to 0.1745 rad and converting straight back gives 9.9981°, a drift of 0.0019° from the 10 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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