Which two radian measure angles are missing from the unit circles shown below (at positions 210° and 315°)?

Answer:
Step-by-step explanation:
You can easily do the conversion from angles to radians by using the unit multiplier [tex]\frac{\pi }{180}[/tex].
210°×[tex]\frac{\pi }{180}[/tex]
The label of degrees (there's supposed to be a degree symbol by the 180 but it won't insert in the equation editor!) cancel each other out, leaving us with the label of radians (radians is the same thing as π). Then reduce between the 210 and the 180. Both are divisible by 30, so the simplification of
[tex]\frac{210\pi }{180}=\frac{7\pi }{6}[/tex]
Do the same with the 315 angle:
315°×[tex]\frac{\pi}{180}[/tex] These are both divisible by 45, so the simplification of
[tex]\frac{315\pi}{180}=\frac{7\pi}{4}[/tex]