Question
convert 200 degrees into radians
Answers
GPT-4o mini
To convert degrees to radians, you can use the conversion factor \(\frac{\pi \text{ radians}}{180 \text{ degrees}}\).
For 200 degrees, the conversion to radians is:
\[
200 \text{ degrees} \times \frac{\pi \text{ radians}}{180 \text{ degrees}} = \frac{200\pi}{180} \text{ radians}
\]
Simplifying the fraction:
\[
\frac{200\pi}{180} = \frac{20\pi}{18} = \frac{10\pi}{9}
\]
Thus, 200 degrees is equal to \(\frac{10\pi}{9}\) radians.
For 200 degrees, the conversion to radians is:
\[
200 \text{ degrees} \times \frac{\pi \text{ radians}}{180 \text{ degrees}} = \frac{200\pi}{180} \text{ radians}
\]
Simplifying the fraction:
\[
\frac{200\pi}{180} = \frac{20\pi}{18} = \frac{10\pi}{9}
\]
Thus, 200 degrees is equal to \(\frac{10\pi}{9}\) radians.