Question
Radian measure of angle 210 degree is
Answers
GPT-4o mini
To convert degrees to radians, you can use the conversion factor \(\frac{\pi \text{ radians}}{180^\circ}\).
To convert \(210^\circ\) to radians:
\[
210^\circ \times \frac{\pi \text{ radians}}{180^\circ} = \frac{210\pi}{180}
\]
Now, simplify the fraction:
\[
\frac{210\pi}{180} = \frac{21\pi}{18} = \frac{7\pi}{6}
\]
Therefore, the radian measure of an angle of \(210^\circ\) is \(\frac{7\pi}{6}\) radians.
To convert \(210^\circ\) to radians:
\[
210^\circ \times \frac{\pi \text{ radians}}{180^\circ} = \frac{210\pi}{180}
\]
Now, simplify the fraction:
\[
\frac{210\pi}{180} = \frac{21\pi}{18} = \frac{7\pi}{6}
\]
Therefore, the radian measure of an angle of \(210^\circ\) is \(\frac{7\pi}{6}\) radians.