FA-97034 / Recipe scaling and nutrition / Member archive

Baking pan substitution: round pan radius · case 04

A 9-inch round is treated as four times larger than it is.

Member previewVariant 4 · 3 implementations · 8 checks per implementation

Case contract

Pans: ["round", diameter], ["square", side], ["rect", w, l] in inches; other -> "error: pan". If scale_to_fill, return factor round(area_new/area_old, 2), same minutes, warning None. Otherwise the same batter goes into the new pan: depth ratio = area_old/area_new, minutes = bake_min*(1+(ratio-1)/2) rounded half-up to a multiple of 5, factor 1.0, warning "overflow risk" when ratio > 1.5 else None.

Why this case matters

Bakers swap pan shapes and must scale the batter or adjust bake time for batter depth.

One recorded failure

Sample boundary fixture

This sample comes from the broken implementation of a controlled reproducer.

Boundary fixture	Actual	Expected	Outcome
regression: round pan radius	`{"factor": 0.84, "minutes": 45, "warning": null}`	`{"factor": 0.21, "minutes": 45, "warning": null}`	Failed

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