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x402-annulus-area

Annulus Area: Area of an annulus (ring).

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
innerRadiusNoInnerRadius to process
outerRadiusNoOuterRadius to process

Schema Changelog

Changes observed during successful MCP inspections.

  1. Changed2 schema fields changed
    • addedInput schema / properties / innerRadius
      Added value: +{
      +  "description": "InnerRadius to process",
      +  "type": "string"
      +}
    • addedInput schema / properties / outerRadius
      Added value: +{
      +  "description": "OuterRadius to process",
      +  "type": "string"
      +}
  2. First observed

TDQS

C2.4/5.0
Behavior2/5

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. It does not state units, whether inputs are numeric strings despite the string type, edge-case behavior (inner > outer, negative radii), or what is returned. For a pure calculation the risk is low, but a genuinely useful description would disclose the formula and unit assumptions.

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

Conciseness4/5

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

A single short, front-loaded sentence with no padding. Brevity is appropriate here, though it is brief at the cost of useful detail rather than by efficient distillation.

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

Completeness2/5

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

With no annotations, no output schema, and generic parameter descriptions, the description is the only remaining source of context, and it supplies none — no units, no return-value shape, no edge-case notes. For a two-input math tool this is a notable gap.

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

Parameters3/5

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

Schema description coverage is 100%, so the two parameters (innerRadius, outerRadius) are already documented in the schema; baseline 3 applies. The description adds nothing about expected units or ordering constraints beyond the schema's generic 'InnerRadius to process' text.

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

Purpose2/5

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

The description restates the tool name: 'Annulus Area: Area of an annulus (ring).' It clarifies that an annulus is a ring, which adds a sliver of meaning, but there is no distinct verb beyond the name and no differentiation from the many sibling area/geometry tools (circle-area, ellipse-area, sector-area). This is essentially tautological.

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

Usage Guidelines2/5

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

No when-to-use guidance, no mention of the alternative geometry tools, no prerequisites. The only implicit context is that this computes ring area, which the name already conveys. Nothing routes an agent between this and its many area siblings.

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

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