Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?

No annotations are provided, so the description carries the full behavioral burden, and it discloses nothing — not the input types beyond the schema, not the return format, not what 'interior' returns. With a math tool the output shape is the single most important behavioral fact and it is entirely absent.

Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.

Is the description appropriately sized, front-loaded, and free of redundancy?

It is short, but only because it contains no information — the single clause is a verbatim repetition of the title. This is under-specification rather than conciseness.

Shorter descriptions cost fewer tokens and are easier for agents to parse. Every sentence should earn its place.

Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?

For a two-parameter computation tool with no annotations and no output schema, the definition supplies none of the missing context: no definition of the computed quantity, no units or expected input format, no return description. An agent would have to guess everything.

Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.

Does the description clarify parameter syntax, constraints, interactions, or defaults beyond what the schema provides?

Schema coverage is nominally 100%, but the schema descriptions are placeholders ('N to process', 'Sides to process') that convey no meaning; the two parameters also appear redundant (n vs sides) with no explanation of the relationship. The description adds nothing to resolve this, so it fails to compensate for an effectively uninformative schema.

Input schemas describe structure but not intent. Descriptions should explain non-obvious parameter relationships and valid value ranges.

Does the description clearly state what the tool does and how it differs from similar tools?

The description 'Regular Polygon Interior: Regular Polygon Interior' is pure tautology — it restates the tool name verbatim and never states what is actually computed (interior angle? interior angle sum? interior region?). The resource is named but the operation and the output quantity are not, so an agent cannot distinguish it from x402-regular-polygon-area, x402-regular-polygon-perimeter, x402-regular-polygon-exterior or x402-interior-angle-sum.

Agents choose between tools based on descriptions. A clear purpose with a specific verb and resource helps agents select the right tool.

Does the description explain when to use this tool, when not to, or what alternatives exist?

There is no when-to-use guidance, no prerequisites, and no mention of any alternative. Given that the sibling list contains at least four near-identical polygon/interior tools, the absence of any disambiguation language is a real gap.

Agents often have multiple tools that could apply. Explicit usage guidance like "use X instead of Y when Z" prevents misuse.