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tresor4k

macalc

calculate_regular_polygon

Compute area, perimeter, and apothem of a regular polygon by providing the number of sides and side length. Ideal for geometry problems, tiling layouts, and quick polygon property calculations.

Instructions

Compute area, perimeter, and apothem of a regular n-gon. Use for geometry or tiling. Inputs: number of sides, side length. Returns full geometric properties. See list_bundles for related 'math' calculators.

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
sidesYesNumber of sides
lengthYesSide length

Output Schema

TableJSON Schema
NameRequiredDescriptionDefault
resultNoComputed result. Object whose fields depend on the tool (e.g. {tax, marginal_rate, brackets} for tax tools, {volume_l, gallons} for volume tools).
formulaNoHuman-readable formula or method used (e.g. "I=P·r·t", "Magnus formula").
sourceNoAuthoritative source for the rule or formula (e.g. "Article 197 CGI", "NF DTU 21").
reference_urlNoLink to a calcul2 page documenting the calculation in detail.
Behavior3/5

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

No annotations provided, so description carries burden. It states returns full geometric properties, implying a read-only computation, but lacks details on side effects, auth needs, or rate limits. Adequate but not comprehensive.

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?

Three sentences with front-loaded purpose and no wasted words. Efficiently communicates core functionality and usage hint.

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

Completeness4/5

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

Given simple two-parameter schema and existence of output schema, the description adequately covers purpose, inputs, and related tools. No significant gaps for a straightforward computation 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?

Schema coverage is 100% with descriptions for both parameters. The description only restates 'number of sides, side length' without adding extra meaning, so baseline score of 3 applies.

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

Purpose5/5

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

The description clearly states the tool computes area, perimeter, and apothem of a regular n-gon, with specific verb 'Compute' and resource. It distinguishes from many sibling calculator tools by specifying geometry/tiling use.

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

Usage Guidelines3/5

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

The description suggests use for geometry or tiling and references list_bundles for related calculators, but does not explicitly exclude other tools or provide when-not-to-use guidance.

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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