Question

Radian measure of -340 degrees

Answer 1

We have to express -340° in radians.

We first have to express it as a positive angle.

As 0° = 360°, we can express an equivalent angle as:

`-340\degree=360\degree-340\degree=20\degree`

We now use the equivalency between radians and degrees, where π rad = 180° and express the angle as:

`20\degree\cdot\frac{\pi\text{ }rad}{180\degree}=(20)/(180)\pi\text{ rad}=(\pi)/(9)\text{ rad}`

Answer: the equivalent angle in radians is π/9 rad.