Loci - the sliding ring problem

Loci are a set of points that all follow a specific rule or condition, creating a specific line, curve, or region. They usually require constructions using a pencil, ruler, and pair of compasses.

The example below demonstrates the grazing area for an animal tied to a ring that slides along a horizontal pole.

Alternatively, explore loci when an animal is tied to the corner of a building.

Stanley the Sheep and the Sliding Ring

Stanley is tied to a ring that can slide along the horizontal pole. Drag the sheep to explore where he can graze. What shape does the full grazing area make?

Rope at full stretch!