To convert degrees to radians, you can use the conversion factor \(\frac{\pi \text{ radians}}{180 \text{ degrees}}\).
So, to convert \(1,540\) degrees to radians, you can use the following formula:
\[ \text{radians} = \text{degrees} \times \frac{\pi}{180} \]
Applying this to \(1,540\) degrees:
\[ 1,540 , \text{degrees} \times \frac{\pi}{180} = \frac{1,540\pi}{180} \]
Now, simplify \(\frac{1,540}{180}\):
\[ \frac{1,540}{180} = \frac{77}{9} \quad (\text{dividing both the numerator and denominator by 20}) \]
Now, you have:
\[ \text{radians} = \frac{77\pi}{9} \]
Therefore, \(1,540\) degrees is equal to \(\frac{77\pi}{9}\) radians.