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IBM

MCP Math Server

by IBM

geom_circle_circumference

Calculate the circumference of a circle by providing the radius. Use this geometry tool to compute circular measurements for mathematical or practical applications.

Instructions

Calculate the circumference of a circle (Domain: geometry, Category: general)

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
radiusYes
Behavior2/5

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

No annotations are provided, so the description carries full behavioral disclosure burden. It states what the tool does but doesn't describe any behavioral traits: no information about error handling, precision, units, or what happens with invalid inputs. The description is purely functional without operational context.

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

Conciseness5/5

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

The description is extremely concise (one sentence) and front-loaded with the core purpose. Every word earns its place, and there's no redundant information. The domain/category annotation is efficiently appended without disrupting the main message.

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?

Given no annotations, no output schema, and 0% schema description coverage, the description is incomplete. It doesn't explain what the tool returns, what units are involved, error conditions, or mathematical assumptions. For a calculation tool with one parameter, more context would be helpful for proper agent usage.

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 0%, so the description needs to compensate. It mentions 'radius' implicitly through the calculation context but doesn't provide any semantic details about the parameter. The baseline is 3 since the schema covers the parameter structure, but the description adds minimal value beyond what's obvious from the tool name.

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

Purpose4/5

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

The description clearly states the tool's purpose with a specific verb ('Calculate') and resource ('circumference of a circle'), and includes domain/category context. However, it doesn't explicitly differentiate from sibling tools like 'geom_circle_area' or 'geom_circle_intersection' beyond the different calculation type.

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?

The description provides no guidance on when to use this tool versus alternatives. There's no mention of when this calculation is appropriate, what inputs are expected beyond the schema, or how it differs from related geometry tools in the sibling list.

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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