# How do you determine the quadrant in which -4.25 radians lies?

Consider multiples of $\pi$ written in decimal form.
$- 4.25$ is between $- \pi$, which is roughly -3.14, and $- \frac{3 \pi}{2}$, which is roughly -4.71. Each quadrant has a turn of $\frac{3 \pi}{2}$ so this means we're looking at a value which is in the third quadrant away from zero. We're counting in the clockwise direction as it's negative, so that takes us to the second (i.e. top left) quadrant.