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:
\[ 1,540 \text{ degrees} \times \frac{\pi \text{ radians}}{180 \text{ degrees}} = \frac{1,540 \pi}{180} \text{ radians} \]
Now, simplify \( \frac{1,540}{180} \):
\[ \frac{1,540}{180} = \frac{154}{18} = \frac{77}{9} \]
Thus,
\[ 1,540 \text{ degrees} = \frac{77\pi}{9} \text{ radians} \]
So, \( 1,540 \) degrees is equivalent to \( \frac{77\pi}{9} \) radians.