InputsLive
Original pan — what the recipe calls for
Diameter
in
How many pans
New pan — what you want to bake in
Diameter
in
How many pans
Scale an ingredient (optional)
Original amount
Result
Multiply every ingredient by
× 1.27
9" round holds 27% more batter than 8" round.
From (8" round)50.3 in²
To (9" round)63.6 in²
Area change27%
Scaled ingredient1.9

Scaling is by baking area; batter depth and bake time still shift. How accurate is this?

Results are estimates. Consult a professional.

How it's calculated

How the cake pan size converter works

Cake batter spreads across the bottom of the pan, so the amount a recipe needs scales with the pan's baking area — not its diameter, and not its volume. The converter finds the area of the pan your recipe was written for, finds the area of the pan you want to use, and divides the second by the first. That ratio is your scale factor. Multiply every ingredient by it and the batter rises to the same depth in the new pan.

round area = π × (diameter ÷ 2)²
square or rectangle area = length × width
scale factor = new pan area ÷ old pan area
scaled ingredient = original amount × scale factor
The method comes straight from King Arthur Baking: get a square pan's area by multiplying one side by the other, and a round pan's by radius squared times pi, then divide the areas to find the conversion factor.

Why area, not diameter

A 9-inch round pan sounds barely bigger than an 8-inch one. By area it holds more than a quarter more batter, because area grows with the square of the radius. Pour an 8-inch recipe into a 9-inch pan unchanged and the cake bakes thinner, drier and faster. The square in the formula is the whole reason a converter beats guessing by diameter.

Example

A worked example: 8-inch round to 9-inch round

Example: a recipe written for one 8" round, baked in a 9" round

Maria's layer-cake recipe calls for an 8-inch round pan and 1½ cups of flour. She only owns a 9-inch round. She needs to know how much to scale every ingredient so the cake isn't thin and overbaked.

Step 1 — Area of the original pan

The 8-inch round has a 4-inch radius: π × 4² = 50.27 sq in.

Step 2 — Area of the new pan

The 9-inch round has a 4.5-inch radius: π × 4.5² = 63.62 sq in.

Step 3 — Divide to get the scale factor

63.62 ÷ 50.27 = 1.27 — the 9-inch pan holds about 27% more batter. So 1½ cups of flour becomes 1.5 × 1.27 = 1.90 cups, and every other ingredient scales the same way.

× 1.27 — about 27% more of everything
Eggs don't divide neatly. If the original used 2 eggs, 2 × 1.27 = 2.53 — beat 3 eggs and hold back a little, or use 2 plus one yolk. Round flour, sugar and liquids to a tidy measure and the cake won't notice the rounding.
Quick reference

Common cake pan areas at a glance

If you just want to eyeball a swap before reaching for the calculator, this table lists the baking area of the pans most home recipes use. Pans with nearly equal areas are interchangeable with little or no scaling.

PanDimensionsBaking area (sq in)Batter (cups)
6" round6 × 2 in28.33–4
8" round8 × 2 in50.36
9" round9 × 2 in63.68
10" round10 × 2 in78.510–11
8" square8 × 8 in64.08
9" square9 × 9 in81.010
11 × 7" rect11 × 7 in77.010
9 × 13" rect13 × 9 in117.014
9 × 5" loaf9 × 5 in45.08

Areas are geometry; batter capacities follow Sally's Baking Addiction. An 8" square (64 sq in) and a 9" round (63.6 sq in) are the classic interchangeable pair.

Interchangeable pans

Converting round to square (and back)

Round and square pans swap freely once you compare them by area. The shapes look different, but the batter only cares how much floor it has to cover. The classic example is the one King Arthur leads with.

An 8-inch square is 8 × 8 = 64 sq in. A 9-inch round is 4.5² × π = 63.6 sq in. Within a hair of each other, so a recipe written for one bakes in the other with no scaling at all. A square pan runs a touch larger than the round of the same number because its corners add area the circle doesn't have.

A square is bigger than the round of the same size
An 8" square holds more than an 8" round (64 vs 50.3 sq in). Match by area, not by the number stamped on the pan, and the round-to-square swap is foolproof.
Layers and batches

Scaling across multiple pans and layers

A layer cake or a doubled batch spreads batter across several pans, so add their areas together before you divide. The converter does this for you when you set the pan count, but the logic is worth seeing.

Say a sheet recipe fills one 9 × 13 pan (117 sq in) and you'd rather bake two 8-inch rounds. Two rounds total 2 × 50.3 = 100.5 sq in. Divide: 100.5 ÷ 117 = 0.86, so scale the recipe to about 86% — or accept slightly taller layers and bake it as-is.

The same addition works the other way. Three 6-inch rounds give a tall, dramatic tier; two 9-inch rounds give a wider, lower cake. Total the areas, divide by what your recipe was built for, and the scale factor tells you whether you're stretching the batter thin or piling it deep.

The part most charts skip

Adjusting bake time and temperature

Scaling the ingredients is only half the job. The new pan changes how deep the batter sits, and depth changes how the cake bakes. A wider, shallower pan bakes faster; a smaller, deeper pan bakes slower and risks a raw centre under a set top. Most pan-size charts stop at the scale factor and leave you to guess the rest.

Wider and shallower — bake hotter and shorter

Spreading the same batter over more area makes a thinner layer that sets quickly. Keep the recipe temperature or nudge it up about 25°F, and start checking for doneness several minutes before the original time. A thin cake left in too long dries out at the edges.

Smaller and deeper — bake cooler and longer

Pile the batter into a smaller, deeper pan and the centre takes longer to reach temperature. Lower the oven about 25°F so the outside doesn't overbake while the middle catches up, and add 10–25 minutes. Going from a 2-inch to a 3-inch pan is the common case where this matters most.

Fill pans only ½ to ⅔ full
Whatever the scale factor, never fill a cake pan past two-thirds. Batter needs room to rise; overfill and it domes, cracks or spills. If the scaled amount overfills the pan, bake the extra as cupcakes.
Sally's Baking Addiction advises filling pans only ½ to ⅔ full and checking for doneness earlier than the recipe states whenever the pan dimensions change.
When to use

When to use a cake pan converter

Reach for it whenever the pan you own isn't the pan the recipe names — which is most of the time, because every recipe assumes one specific pan and no kitchen stocks them all.

  • Wrong-size pan — your recipe calls for a 9-inch round and you only have an 8-inch, or vice versa.
  • Round to square (or back) — turning a layer cake into a sheet cake, or a square recipe into rounds.
  • Layer cakes — splitting one batter across two or three tiers of a given size.
  • Scaling a recipe up or down — halving a sheet cake into a single round, or doubling a round into a 9 × 13.
  • Bundt and tube pans — matching batter volume to a 10- or 12-cup mould.

For converting the ingredient units themselves — cups to grams, sticks of butter, tablespoons — pair this with the cooking converter.

Definitions

Cake pan terms, defined

The flat surface the batter covers — π × radius² for a round pan, length × width for a square or rectangular one. It's the figure that scales a recipe between pans, because batter spreads by area.
The new pan's area divided by the old pan's area. Multiply every ingredient by it. A factor above 1 means more batter; below 1 means less. An 8" round to a 9" round is about 1.27.
How many cups of batter a pan holds filled to a normal level — about 6 cups for an 8" round, 8 for a 9" round. Two pans with equal capacity can usually swap with no scaling.
How tall the pan's walls are, commonly 2 or 3 inches. Depth doesn't change the area-based scale factor, but a deeper pan holds a deeper layer that bakes slower and may need a lower oven.
How full you pour the pan — ½ to ⅔ for cakes. Filling higher leaves no room to rise and risks overflow; the converter assumes the same fill level in both pans.
Accuracy

How accurate is this cake pan converter?

The area math is exact. π times radius squared, and length times width, are precise to the decimal, so the scale factor between any two pans is as accurate as your measurements. Measure across the top inside edge, since the outside dimension includes the pan walls.

What the converter can't predict is how your specific cake behaves at a new depth. Scaling the ingredients keeps the batter at the same depth when the fill level matches, but bake time, doming and edge texture still shift with the pan's shape and your oven. Treat the scale factor as exact, the bake time as a starting point, and test for doneness with a skewer rather than the clock. When in doubt, keep the new layer close to the depth the recipe was written for.

Questions

Frequently asked questions about the free Cake Pan Size Converter calculator

A cake Pan Size Converter calculator is a free online tool that helps you scale any recipe between round, square and rectangular cake pans by baking area — with the exact factor to multiply every ingredient. Cake batter scales with the pan's baking area, so find the area of each pan and divide the new by the old to get the factor that multiplies every ingredient. It runs entirely in your browser with instant results and no sign-up.
Work by baking area. Find each pan's area — π × radius² for round, length × width for square or rectangular — then divide the new pan's area by the old one's. Multiply every ingredient by that factor. For example, an 8-inch round (50.3 in²) to a 9-inch round (63.6 in²) is a factor of about 1.27, so you use roughly 27% more of everything.
Yes, but a 9-inch round holds more than 25% more batter than an 8-inch round (63.6 vs 50.3 in²). Pour an 8-inch recipe in unchanged and the cake bakes thinner and faster. Scale the recipe up by about 1.27, or accept a shorter cake and start checking for doneness early.
Almost exactly. An 8-inch square is 64 in² and a 9-inch round is 63.6 in², so a recipe written for one bakes in the other with no scaling. A square pan always runs a little larger than the round of the same number because its corners add area.
Yes. A wider, shallower pan bakes faster — keep or raise the temperature slightly and check early. A smaller, deeper pan bakes slower, so lower the oven about 25°F and add 10 to 25 minutes so the centre sets before the outside overbakes. Test with a skewer rather than the clock.
Only about half to two-thirds full, whatever the scale factor says. Batter needs room to rise; overfill and it domes, cracks or spills over. If the scaled amount would overfill the pan, bake the extra batter as cupcakes.
About

About this Cake Pan Size Converter calculator

This converter runs entirely in your browser — nothing is sent anywhere. Enter the pan your recipe was written for and the pan you want to use, and it works out the area of each, divides them for the scale factor, and rescales any ingredient amount you type, all live as you adjust the dimensions.

It's part of our cooking and baking calculators, alongside the full library of free calculators for everyday kitchen math.

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