360 degrees to radians
6.2832 rad
360° = 6.2832 rad.
radians
6.2832rad
360° = 6.2832 rad
In short
How many radians is 360 degrees?
360° = 6.2832 rad. 1 degree = 0.017453 radians, so the working is 360 × 0.017453 = 6.2832.
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 360 × 0.017453 = 6.2832
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 | 6 | −0.28319 |
| 1 decimal | 6.3 | +0.01681 |
| 2 decimals | 6.28 | −0.00319 |
Round trip: take 6.2832 rad back the other way and you land on 360.0008° — a drift of 0.0008°. That gap is the rounding, not the conversion.
What 360 ° looks like
360 °
A full turn, 2π radians. The choice of 360 is Babylonian convention rather than mathematics, which is why radians exist.
Frequently asked questions
What is 360 degrees in radians?
360 degrees is 6.2832 radians. 1 degree = 0.017453 radians, so the working is 360 × 0.017453 = 6.2832.
How accurate is 6.2832 rad?
Rounding to 6.2832 rad and converting straight back gives 360.0008°, a drift of 0.0008° from the 360 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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