72 degrees to radians
1.2566 rad
72° = 1.2566 rad.
radians
1.2566rad
72° = 1.2566 rad
In short
How many radians is 72 degrees?
72° = 1.2566 rad. 1 degree = 0.017453 radians, so the working is 72 × 0.017453 = 1.2566.
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 72 × 0.017453 = 1.2566
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 | −0.25664 |
| 1 decimal | 1.3 | +0.04336 |
| 2 decimals | 1.26 | +0.00336 |
Round trip: take 1.2566 rad back the other way and you land on 71.9979° — a drift of 0.0021°. That gap is the rounding, not the conversion.
Frequently asked questions
What is 72 degrees in radians?
72 degrees is 1.2566 radians. 1 degree = 0.017453 radians, so the working is 72 × 0.017453 = 1.2566.
How accurate is 1.2566 rad?
Rounding to 1.2566 rad and converting straight back gives 71.9979°, a drift of 0.0021° from the 72 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
Convert degrees to radians — trigonometry, calculus, and anything using π.
Open the degrees to radians converter →