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Math & AlgebraGenerated accuracy model review: 2026-05-06
Area Calculator accuracy and testing
This page documents how Calwarden builds trust for this calculator: source notes, regression-style default tests, limitations, assumptions, unit handling, rounding, and visible change history.
Formula source
- Each supported shape uses a specific formula: * **Rectangle/Parallelogram:** $Width \times Height$ * **Trapezoid:** $\frac{(Base1 + Base2)}{2} \times Height$ * **Ellipse:** $\pi \times a \times b$ using the semimajor and semiminor radii * **Sector:** $\frac{1}{2} \times r^2 \times \theta$
Test cases
Default input regression check
Generated from the checked-in default inputs and calculate function.
Inputs
- Shape: Rectangle
- Dimension 1: 10
- Dimension 2: 5
- Dimension 3: 8
Expected outputs
- Area: 50
Known limitations
- This page documents the checked-in calculator logic and does not certify results for every real-world edge case.
- Use the result as a planning estimate unless the calculator page states a stricter purpose.
Assumptions
- All measurements are entered in the same linear unit, so the result is returned in matching square units.
- Dimensions are treated as non-negative geometric lengths or angles.
- Ellipse mode expects semimajor and semiminor axis lengths, not full major and minor axis lengths.
- Sector angles are interpreted in degrees and converted internally before the area is calculated.
Unit handling
- Shape accepts one of the configured options.
- Dimension 1 accepts numeric values.
- Dimension 2 accepts numeric values.
- Dimension 3 accepts numeric values.
Rounding rules
- Number displays use up to 2 decimal places in the calculator UI.
Version history
1.0.0 - 2026-05-06
Generated accuracy and testing page from the current area-calculator calculator definition.
Change log
2026-05-06
Published default regression test documentation and metadata fallbacks for Area Calculator.
Calculator transparency
Accuracy pages are generated from checked-in calculator definitions and can be upgraded with curated review metadata over time.