Locus (mathematics)

What is the locus of points that a dog may reach when it is tied at the center of a 30-foot fence with an 8-foot leash?

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a circle of radius 8feet with the fixed point as centre

⁄↓

⁄ ↓

⁄ ↓ ← 15 feet high point of tying dog.

8 feet leash[rope] of 30feet high fence.point of tying dog.

the dog can only move along a circle with 8 feet radius at a distance of 4feet apart in either direction from the rope position as centre.