Polar coordinates offer a different way to describe points in a plane, using distance and angle instead of the traditional x and y coordinates. In this system, each point is represented by two values: r, the distance from the origin (the pole), and θ, the angle measured from a fixed direction, usually the positive x-axis. This approach is particularly useful when dealing with circular or rotational patterns, since it naturally aligns with shapes that have symmetry around a center. For example, p