calculate_ellipse
Compute ellipse area and approximate perimeter using semi-major and semi-minor axes. Ideal for elliptical fields, tracks, or design calculations.
Instructions
Compute ellipse area A=π·a·b and approximate perimeter (Ramanujan). Use for elliptical fields, tracks, or design. Inputs: semi-major a, semi-minor b. Returns area and perimeter. See list_bundles for related 'math' calculators.
Input Schema
| Name | Required | Description | Default |
|---|---|---|---|
| a | Yes | Semi-major axis | |
| b | Yes | Semi-minor axis |
Output Schema
| Name | Required | Description | Default |
|---|---|---|---|
| result | No | Computed result. Object whose fields depend on the tool (e.g. {tax, marginal_rate, brackets} for tax tools, {volume_l, gallons} for volume tools). | |
| formula | No | Human-readable formula or method used (e.g. "I=P·r·t", "Magnus formula"). | |
| source | No | Authoritative source for the rule or formula (e.g. "Article 197 CGI", "NF DTU 21"). | |
| reference_url | No | Link to a calcul2 page documenting the calculation in detail. |