Question
Convert -240° to radians.
Answers
GPT-4o mini
To convert degrees to radians, you can use the conversion factor \(\frac{\pi \text{ radians}}{180^\circ}\).
So to convert \(-240^\circ\) to radians:
\[
-240^\circ \times \frac{\pi \text{ radians}}{180^\circ} = -\frac{240\pi}{180}
\]
Now, simplify the fraction:
\[
-\frac{240}{180} = -\frac{4}{3}
\]
Thus, the conversion gives:
\[
-\frac{240\pi}{180} = -\frac{4\pi}{3} \text{ radians}
\]
Therefore, \(-240^\circ\) in radians is \(-\frac{4\pi}{3}\).
So to convert \(-240^\circ\) to radians:
\[
-240^\circ \times \frac{\pi \text{ radians}}{180^\circ} = -\frac{240\pi}{180}
\]
Now, simplify the fraction:
\[
-\frac{240}{180} = -\frac{4}{3}
\]
Thus, the conversion gives:
\[
-\frac{240\pi}{180} = -\frac{4\pi}{3} \text{ radians}
\]
Therefore, \(-240^\circ\) in radians is \(-\frac{4\pi}{3}\).