# How do you determine the quadrant in which -2 radians lies?

##### 1 Answer
Apr 22, 2017

$- 2$ radians lies in $Q 3$

#### Explanation:

We know that

$Q 1$ is from $0$ to $\frac{\pi}{2} = 1.5708$ radians

$Q 2$ is from $\frac{\pi}{2} = 1.5708$ to $\pi = 3.1416$ radians

$Q 3$ is from $\pi = 3.1416$ to $\frac{3 \pi}{2} = 4.7124$ radians and

$Q 4$ is from $\frac{3 \pi}{2} = 4.7124$ to $2 \pi = 6.2832$ radians

Now $- 2$ radians is equivalent to $- 2 + 2 \pi = - 2 + 6.2832 = 4.2832$ radians

Hence $- 2$ radians lies in $Q 3$