Question

How do you determine the quadrant in which $-1$ radians lies?

Answer 1

Determine the quadrant in which $-1$ radians lies:

It is known that $\mathrm{\pi }$ radians, or $3.14$ radians equal to ${180}^0$.

Thus, one radian equals roughly $57.{32}^0$.

Now, from the starting position of $0^0$or zero radians, turn clockwise to record $-57.{32}^0$, which would be clearly contained in the ${\mathrm{IV}}^{\mathrm{th}}$ Quadrant.

Therefore, the quadrant in which $-1$ radians lies is ${\mathrm{IV}}^{\mathrm{th}}$ Quadrant.