Question

use the drop - down menus to complete the sentence: the terminal ray of a 300° angle lies in the quadrant. this angle measures ( )π radians.

Explanation:

Step1: Determine the quadrant

Angles between $270^{\circ}$ and $360^{\circ}$ lie in the fourth - quadrant. Since $270^{\circ}<300^{\circ}<360^{\circ}$, the terminal ray of a $300^{\circ}$ angle lies in the fourth quadrant.

Step2: Convert degrees to radians

The conversion formula from degrees to radians is $\theta_{rad}=\frac{\pi}{180}\times\theta_{deg}$. For $\theta_{deg} = 300^{\circ}$, we have $\theta_{rad}=\frac{\pi}{180}\times300=\frac{5\pi}{3}$ radians.

Answer:

The terminal ray of a $300^{\circ}$ angle lies in the fourth quadrant. This angle measures $\frac{5}{3}\pi$ radians.