Oval Validator

Oval Validator provides a geometry-focused validation workflow for ellipse parameters. Given the major axis a and minor axis b, optionally center coordinates and an orientation angle, it checks input validity (a > 0, b > 0, and a >= b) and computes fundamental ellipse metrics. Outputs include the ellipse area, focal distance, eccentricity, and the coordinates of the two foci, enabling quick verification against design constraints or educational problems. It is suitable for geometry students, engineering designers, CAD practitioners, and instructors who require a compact, formula-based tool to confirm ellipse definitions without manual calculation.
Conceptually, the tool uses the standard ellipse model and supports rotation by a given orientation. Core formulas are applied: area = πab; c = sqrt(a^2 - b^2); eccentricity e = c/a. For rotated ellipses, the two focal points lie along the major axis at centers ±c from the center when projected onto the rotated orientation. A robust perimeter approximation via Ramanujan is provided when exact arc length is unnecessary. Input validation and numerical safeguards ensure reliable results across typical engineering ranges.
Who benefits: students verifying homework or exams, engineers validating sketches and CAD exports, designers assessing lens or reflector dimensions, and educators preparing demonstrations. Unique value: a single-step computation that yields both raw inputs and meaningful derived geometry, including rotated focal coordinates, without requiring separate calculations or external references. It supports reproducible reporting by exporting a consistent set of metrics for documentation and quality checks.
Core features and use cases include (a) validation of a and b with optional center and orientation; (b) computation of area, c, e, and focal coordinates; (c) a perimeter estimate and optional bounding box. Use cases span classroom exercises, preliminary design reviews, and quick diagram verification for ellipse-based components or optical layouts.