x402-circle-segment-area
Circle Segment Area: Area of circle segment.
Input Schema
| Name | Required | Description | Default |
|---|---|---|---|
| unit | No | Unit to process | |
| angle | No | Angle to process | |
| radius | No | Radius to process |
Circle Segment Area: Area of circle segment.
| Name | Required | Description | Default |
|---|---|---|---|
| unit | No | Unit to process | |
| angle | No | Angle to process | |
| radius | No | Radius to process |
Changes observed during successful MCP inspections.
Input schema / properties / angleAdded value: +{
+ "description": "Angle to process",
+ "type": "string"
+}Input schema / properties / radiusAdded value: +{
+ "description": "Radius to process",
+ "type": "string"
+}Input schema / properties / unitAdded value: +{
+ "description": "Unit to process",
+ "type": "string"
+}Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?
With no annotations provided, the description carries the full behavioral burden and delivers nothing: no mention of whether angle is in degrees or radians, whether the computation is pure, what the output format is, or any validation behavior. The agent cannot infer any operational traits from this text.
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 a single short phrase with zero waste and is front-loaded, but the brevity comes at the cost of under-specification rather than disciplined concision. There is nothing to trim, but also nothing of substance.
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 three-parameter geometry tool with no annotations and no output schema, the description is inadequate. It omits the angle unit convention, the role of the 'unit' parameter, and the computational definition of the segment, leaving key caller-facing details unstated.
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 three schema descriptions ('Unit to process', 'Angle to process', 'Radius to process') are vacuous placeholders that add no real meaning. The description does not compensate by clarifying the angle unit (radians vs degrees) or what 'unit' selects, so an agent still does not know what values to supply.
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 'Area of circle segment' is effectively a restatement of the tool name 'x402-circle-segment-area', making it tautological. It does not specify whether the segment is defined by central angle or chord, nor does it distinguish itself from close siblings like x402-circle-sector-area or x402-circle-area.
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 on when to use this tool versus alternatives. Sibling tools such as x402-circle-sector-area, x402-circle-arc-length, and x402-sector-area are near neighbors, and the description gives the agent no basis to choose between them.
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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