The graph shows the region in polar coordinates bounded by the conditions \(-\frac{\pi}{2} \leq \theta \leq \frac{\pi}{2}\) and \(1 \leq r \leq 2\). It forms a ring-shaped sector in the right half of the plane, between the two circles of radius 1 and 2.

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Here are five related questions:
1. How do polar coordinates differ from Cartesian coordinates?
2. What would happen if the radius bounds were changed to \(0 \leq r \leq 2\)?
3. How do we convert polar coordinates to Cartesian coordinates?
4. What are some practical applications of polar coordinates in real-world scenarios?
5. How do we calculate the area of a region defined by polar coordinates?

**Tip:** In polar coordinates, the angle \(\theta\) determines the direction, while the radius \(r\) determines the distance from the origin.

Explore how to graph the polar coordinate region bounded by −π/2 ≤ θ ≤ π/2 and 1 ≤ r ≤ 2. This problem covers key trigonometric concepts and polar-to-Cartesian conversion, suitable for Grades 10-12 students.

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