13 degrees to radians
0.2269 rad
13° = 0.2269 rad.
radians
0.2269rad
13° = 0.2269 rad
In short
How many radians is 13 degrees?
13° = 0.2269 rad. 1 degree = 0.017453 radians, so the working is 13 × 0.017453 = 0.2269.
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 13 × 0.017453 = 0.2269
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 | −0.22689 |
| 1 decimal | 0.2 | −0.02689 |
| 2 decimals | 0.23 | +0.00311 |
Round trip: take 0.2269 rad back the other way and you land on 13.0004° — a drift of 0.0004°. That gap is the rounding, not the conversion.
Frequently asked questions
What is 13 degrees in radians?
13 degrees is 0.2269 radians. 1 degree = 0.017453 radians, so the working is 13 × 0.017453 = 0.2269.
How accurate is 0.2269 rad?
Rounding to 0.2269 rad and converting straight back gives 13.0004°, a drift of 0.0004° from the 13 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
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