Question

Express the angle 380° in radian measure.

Answer 1

$\frac{19\pi}{4}$

Answer 2

Answer:  The radian measure of the given angle is $\dfrac{19\pi}{9}~\textup{radian}.$

Step-by-step explanation:  We are given to express the following angle in degree measure in radian measure :

$\theta=380^\circ.$

We know that

the relation between degree measure and radian measure of an angle is as follows :

$180^\circ=\pi~\textup{radian}.$

So, we have

$1^\circ=\dfrac{\pi}{180}~\textup{radian}.$

Therefore, we get

$380^\circ=\dfrac{\pi}{180}\times380=\dfrac{19\pi}{9}~\textup{radian}.$

Thus, the required radian measure of the given angle is $\dfrac{19\pi}{9}~\textup{radian}.$