Question
convert 1540 degrees into radians
Answers
GPT-4o mini
To convert degrees into radians, you can use the conversion factor that \( \pi \) radians is equal to 180 degrees. The formula for the conversion is:
\[
\text{radians} = \text{degrees} \times \frac{\pi}{180}
\]
For 1540 degrees, the conversion to radians would be:
\[
1540 \times \frac{\pi}{180}
\]
Now, let's simplify that:
\[
1540 \div 180 = \frac{1540}{180} = \frac{77}{9}
\]
Thus,
\[
1540 \text{ degrees} = \frac{77\pi}{9} \text{ radians}
\]
So, \( 1540 \) degrees is \( \frac{77\pi}{9} \) radians.
\[
\text{radians} = \text{degrees} \times \frac{\pi}{180}
\]
For 1540 degrees, the conversion to radians would be:
\[
1540 \times \frac{\pi}{180}
\]
Now, let's simplify that:
\[
1540 \div 180 = \frac{1540}{180} = \frac{77}{9}
\]
Thus,
\[
1540 \text{ degrees} = \frac{77\pi}{9} \text{ radians}
\]
So, \( 1540 \) degrees is \( \frac{77\pi}{9} \) radians.