Question

Express the angle 380° in radian measure.

Answer 1

Answer: The radian measure of the given angle is
`(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=(\pi)/(180)~\textup{radian}.`

Therefore, we get

`380^\circ=(\pi)/(180)*380=(19\pi)/(9)~\textup{radian}.`

Thus, the required radian measure of the given angle is
`(19\pi)/(9)~\textup{radian}.`