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

No annotations are provided, so the description carries the full burden of behavioral disclosure, and it discloses nothing. It does not state that this is a pure computation, what type of inputs a/b/c represent (sides? angles?), or what is returned.

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 the single sentence is pure redundancy—the name duplicated—so it does not earn its place. Brevity here reflects under-specification rather than disciplined 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 parameterized computation tool with no annotations, no output schema, and placeholder parameter descriptions, the definition is entirely inadequate. An agent has no basis to invoke it correctly beyond guessing from the tool name.

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%, which sets a baseline of 3, but the schema descriptions are placeholders ('A to process', 'B to process', 'C to process') that convey no real semantics. The description adds nothing, so an agent cannot tell whether a/b/c are side lengths, vertices, or angles—needed to correctly compute a circumradius.

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 is a tautology: 'Triangle Circumradius: Triangle Circumradius' merely repeats the tool name without a verb or scope. It does name a specific geometric concept, so it is not wholly meaningless, but it never states that the tool computes anything, leaving intent inferable only from the name.

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 guidance at all on when to use this tool versus the many sibling geometry tools (e.g., x402-triangle-area, x402-triangle-inradius, x402-triangle-perimeter). No context, no exclusions, no prerequisites are given.

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