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# Loci - the sliding ring problem
- URL: https://www.esheets.io/loci-the-sliding-ring-problem/
- Published: 2026-06-04T19:14:50.000Z
- Updated: 2026-06-04T19:18:03.000Z
- Author: Richard Linnington 2
- Tags: Maths, Geometry and Shape, Tools

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](https://www.esheets.io/loci-demonstration/).

# 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!

Start Over Hide full grazing area