Baking Pan Scaler API

Baking-pan maths as an API, computed locally and deterministically — the area and scale-factor numbers a baker resizes a recipe between pans with. The trick everyone gets wrong is that a recipe scales by the pan’s AREA, not its diameter, so a 10-inch round holds far more batter than a 9-inch. The area endpoint gives the surface area of any pan — round and springform as π/4·d², square as s², rectangle as length × width, and bundt or tube pans as the ring (the outer circle minus the centre hole) — so a 9-inch round is 63.6 in², an 8-inch square 64 and a 9×13 is 117; add a depth and it returns the volume in cubic inches and cups. The convert endpoint gives the scale factor to move a recipe from one pan to another, factor = target area ÷ source area: a 9-inch round to a 9×13 is ×1.84, and two 8-inch rounds really do equal one 9×13. Pass an ingredient amount and it scales it for you, with a note to keep the batter depth similar and adjust the bake time. Everything is computed locally and deterministically, so it is instant and private. Ideal for baking, recipe, meal-prep and kitchen app developers, recipe-scaling and substitution tools, and culinary software. Pure local computation — no key, no third-party service, instant. Inches. Live, nothing stored. 2 compute endpoints. For ingredient unit conversion use a cooking API.