What are the degrees of Quadrant III in the unit circle?

Study for the Accuplacer Advanced Algebra and Functions Test. Use flashcards and multiple choice questions, each question offers hints and explanations. Ace your exam preparation!

In the unit circle, Quadrant III is defined as the region where both the x and y coordinates are negative. This quadrant encompasses angles ranging from 180 degrees to 270 degrees. The angles represented in option C—210 degrees, 225 degrees, and 240 degrees—are all within this range.

To further elaborate, 210 degrees is located exactly 30 degrees past 180 degrees, 225 degrees is at the midpoint between 210 degrees and 240 degrees, and 240 degrees is 60 degrees into Quadrant III from 180 degrees. Each of these angles is indeed in the correct area of the unit circle that represents Quadrant III, thereby confirming that option C accurately lists angles that belong to that quadrant.

The other options include angles that either fall into Quadrant II, IV, or are not in the range of Quadrant III at all, hence, they do not meet the criteria for angles in that specific quadrant.

Subscribe

Get the latest from Examzify

You can unsubscribe at any time. Read our privacy policy