The girl walking around the gymnasium bench forms a circular locus, with each point equidistant from the bench, defining a perfect circle centered on the bench.
The locus created by a girl walking around a long, thin bench in a gymnasium while maintaining a constant distance from the bench forms a perfect circle. This phenomenon can be attributed to the definition of a circle, which is the set of all points in a plane that are equidistant from a fixed center. In this scenario, the bench serves as the center of the circle, and the constant distance maintained by the girl represents the radius.
As the girl circumvents the bench, her path traces out the boundary of the circle. Regardless of her position relative to the bench, the distance between her and the bench remains unchanged due to the consistent radius. This results in a circular locus, where each point on the circle is at an equal distance from the central point, defined by the bench.
In summary, the girl walking around the long, thin bench in the gymnasium creates a circular locus, emphasizing the geometric property that all points on the path are equidistant from the center, which is the bench.
The question probable may be:
What is the locus created by a girl walking around a long, thin bench in a gymnasium while maintaining a constant distance from the bench? Provide a detailed description of the shape formed by the girl's path.