30 degrees to radians
0.5236 rad
30° = 0.5236 rad.
radians
0.5236rad
30° = 0.5236 rad
In short
How many radians is 30 degrees?
30° = 0.5236 rad. 1 degree = 0.017453 radians, so the working is 30 × 0.017453 = 0.5236.
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 30 × 0.017453 = 0.5236
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 | 1 | +0.47640 |
| 1 decimal | 0.5 | −0.02360 |
| 2 decimals | 0.52 | −0.00360 |
Round trip: take 0.5236 rad back the other way and you land on 30.0001° — a drift of 0.0001°. That gap is the rounding, not the conversion.
What 30 ° looks like
30 °
One of the two angles in a 30-60-90 triangle, and π/6 in radians, which is where most trigonometry tables begin.
Frequently asked questions
What is 30 degrees in radians?
30 degrees is 0.5236 radians. 1 degree = 0.017453 radians, so the working is 30 × 0.017453 = 0.5236.
How accurate is 0.5236 rad?
Rounding to 0.5236 rad and converting straight back gives 30.0001°, a drift of 0.0001° from the 30 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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