Answer: The radian measure of the given angle is [tex]\dfrac{19\pi}{9}~\textup{radian}.[/tex]
Step-by-step explanation: We are given to express the following angle in degree measure in radian measure :
[tex]\theta=380^\circ.[/tex]
We know that
the relation between degree measure and radian measure of an angle is as follows :
[tex]180^\circ=\pi~\textup{radian}.[/tex]
So, we have
[tex]1^\circ=\dfrac{\pi}{180}~\textup{radian}.[/tex]
Therefore, we get
[tex]380^\circ=\dfrac{\pi}{180}\times380=\dfrac{19\pi}{9}~\textup{radian}.[/tex]
Thus, the required radian measure of the given angle is [tex]\dfrac{19\pi}{9}~\textup{radian}.[/tex]
