Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?
With no annotations, the description carries the full behavioral load and does it well: geodesic computation, always-positive sign, winding-order independence, and local computation with no network or quota impact. It does not mention behavior on invalid input such as fewer than 3 points, but this is a minor gap for such a simple pure function.
Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.