Scale a Round-Pan Recipe by Area Rather Than Diameter
A pan twenty percent wider has forty-four percent more area. Use the squared diameter ratio to scale ingredient quantities for a similar fill depth, rather than adding twenty percent to everything.
1 · ingredient | original quantity grams | original round pan diameter cm
FIRST-LOAD
Research prototype — checkout unavailable. Input is processed locally and a draft is saved automatically in this browser profile when storage is available. Reset to sample clears that draft; Pro history has its own clear button. A state link encodes your inputs in its URL: share only non-sensitive rows. Browser history, clipboard and anyone receiving the link may retain it. Optional AI use below leaves this device; it is not required.
Data note: Everything runs in this browser tab on the pan-area scaling chart: your ingredient | original quantity grams | original round pan diameter cm stays on this device, nothing is uploaded, and the reading is rebuilt only when you press run.
Perspective: Before: Diameter is a length; the batter footprint grows with its square. After: the pan-area scaling chart shows the working beside each named row so the reader can change the assumption and inspect the consequence.
2 · Read the pan-area scaling chart
Recipe geometry only, not food-safety or nutrition advice. Follow a tested recipe’s safety guidance and check appropriate cooking temperatures independently.
Paid layer: pan-area scaling chart print and history
one-time step · the free reading above stays complete
Free tier
- one complete pan-area scaling chart run in the app
- three samples plus unlimited article-demo runs
- unwatermarked result text and an explicit, user-triggered state link
What $4 one-time adds
- print the pan-area scaling chart with its row workings
- CSV of grams of entered ingredients and row explanations
- last five reading summaries saved in this browser profile
$4 once for repeated filing of the pan-area scaling chart, not for a better answer. Illustrative time basis: avoiding one five-minute manual reformat per saved reading; no market-price or guaranteed-savings claim.
Local history (this device)
- No saved runs yet — your first run files here.
Checkout is unavailable until a payment link is configured. The optional unlock is browser-local, profile-scoped and best-effort, not server-verified access. Clearing browser data can remove it; there is no account or cross-device recovery.
Boundary and sources
Recipe geometry only, not food-safety or nutrition advice. Follow a tested recipe’s safety guidance and check appropriate cooking temperatures independently.
- Method: Scaled amount = original amount × (target diameter ÷ original diameter)². Moving from 20 to 24 cm multiplies 200 g by 1.44 to give 288 g.
- All sample records are invented examples. The app does not fetch measurements, policies, files or personal records.
- Google’s official pricing page, fetched 2026-09-29, lists free-tier access including AI Studio. Optional formatting only; limits and availability can change. Free-tier content may be used to improve products. Never paste private records there.
Mechanism: competence-autonomy-loop
Optional AI formatting, not calculation
For this pan-area scaling chart, use the free AI Studio interface only if available to you, with no paid API key. Manual entry completes the same workflow for free. Supply only fictional or non-sensitive notes. Review its output against the source; never paste unresolved questions into the numeric rows.
Format my non-sensitive notes for a pan-area scaling chart. Return plain rows only: ingredient | original quantity grams | original round pan diameter cm. Preserve supplied quantities exactly. Do not guess missing values; list questions separately. Do not calculate or add advice. I will check every row before pasting into the local tool.
Accepted schema: ingredient | original quantity grams | original round pan diameter cm. No AI response is executed as code.