Identify the quadrant that the given angle is located in.
$\frac{\pi}{7}$ radians

• A. Quadrant I
• B. Quadrant II
• C. Quadrant III
• D. Quadrant IV

Answer: (A)

Verified step by step guidance

1. Convert the given angle from radians to degrees if necessary, but in this case, we will work directly with radians.
2. Recall that the unit circle is divided into four quadrants: Quadrant I (0 to π/2), Quadrant II (π/2 to π), Quadrant III (π to 3π/2), and Quadrant IV (3π/2 to 2π).
3. Determine the approximate value of the given angle in terms of π. Here, 7π/7 simplifies to π, which is exactly on the boundary between Quadrant II and Quadrant III.
4. Since the angle π is exactly on the boundary, it is typically considered to be in Quadrant II for the purpose of this problem.
5. Conclude that the angle π/7 is less than π/2, placing it in Quadrant I.