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

With no annotations, the description carries the full behavioral burden and delivers almost nothing: it does not state the formula ((n-2)*180), input range/constraints, or how unitless the result is. The only positive is that the phrase 'interior angle sum' correctly frames the computed quantity, which is marginally more than the name.

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?

The text is short and front-loaded, but this is under-specification rather than conciseness. A single redundant clause that echoes the name is not an efficient use of the description slot.

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 tool with no annotations, no output schema, and a genuinely ambiguous two-parameter schema, the description should explain the formula, the expected numeric input, and how the redundant n/sides parameters relate. None of that is present, leaving the agent unable to call the tool confidently.

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 pure boilerplate ('N to process', 'Sides to process') for two parameters that appear to mean the same thing. The description does nothing to disambiguate whether the agent should supply n, sides, or both, which is the single most important semantic question for this tool.

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 'Interior Angle Sum: Sum of interior angle' merely restates the tool name and title in slightly different words. It signals a geometry computation but gives no verb or specifics about what input is required or what form the answer takes, so an agent cannot distinguish it meaningfully from nearby siblings like x402-regular-polygon-interior.

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 mention of alternatives such as x402-regular-polygon-interior, x402-triangle-angle, or the angle-unit tools, and no exclusions. The name implies a polygon context, but the agent is left to infer it.

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