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IBM

MCP Math Server

by IBM

geom_circle_area

Calculate the area of a circle using the radius value. This geometry tool computes circular area for mathematical applications.

Instructions

Calculate the area 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 the full burden of behavioral disclosure. It states the calculation action but does not describe any behavioral traits like error handling, precision, or output format. This is a significant gap for a tool with no structured annotations.

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 and front-loaded, consisting of a single sentence that directly states the tool's purpose. There is no wasted text, and the domain/category information is efficiently included without redundancy.

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 the lack of annotations, no output schema, and minimal parameter information, the description is incomplete. It does not address key contextual aspects like the return value (e.g., area as a number), units, or error conditions, which are essential for a calculation tool.

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?

The description does not add any parameter semantics beyond the input schema, which has 0% description coverage. However, with only one parameter ('radius'), the baseline is 4, but since the description provides no additional meaning (e.g., units, constraints), it does not fully compensate, resulting in a score of 3.

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 ('area of a circle'), and includes domain/category context. However, it does not explicitly differentiate from sibling tools like 'geom_circle_circumference' or 'geom_polygon_area', which would be needed for a perfect score.

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. It mentions 'Domain: geometry, Category: general', but this is generic context rather than explicit usage instructions, such as when to prefer this over other area calculation tools or geometric functions.

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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