Recipe conversion sometimes requires some simple mathematics. The mathematics of converting a square or circular baking tray or tin to a larger diameter aren’t so straight forward. To do this try of Recipe Conversion follow the simple steps outlined here.
Changing for Square or Rectangular Items
For Square or Rectangular Recipes the following Recipe Conversion can be used.
Note: This calculation assumes you want to keep the height/depth of the cake/pizza/loaf/whatever the same. If you do not you will have to further multiply by the depth also and think about changing cooking times.
Before we can do the Recipe Conversion we need to know the width and length of the original recipes tin/pan/pot and the width and length of the new recipes tin/pan/pot. The Width is across one side of the rectangle and the Length is across the other side of the rectangle, it doesn’t really matter which way round you measure it as long as you don’t measure the height.
Original Recipe Length = 23 Inch, Width = 13 Inch
New Recipe Length = 28 Inch, Width = 15 Inch
All measurements must use the same measurment scale. The above example uses all inches.
The next stage of this Recipe Conversion is to calculate the area of each Recipes rectangle.
To calculate the area we simply multiply the Length by the Width (Area = Length * Width)
So the Orignal Area will be 23 * 13 = 299
We now calculate the area of the New Recipe, this will be 28 * 15 = 420
And next we divide our new area by the old area. 420 / 299 = 1.4
Therefore to do the Recipe Conversion you need to multiply the Original Recipe quantity by 1.4.
For example if the Original Recipe says 100grams of Sugar. Then 100grams * 1.4 = 140grams. So you need 140grams in your new recipe.
Changing the Recipe for Circular Items
For Cakes and Pizza the following can be used.
This calculation assumes you want to keep the height/depth of the cake/pizza/loaf/whatever the same. If you do not you will have to further multiply by the depth also and think about changing cooking times.
Before we can do this Recipe Conversion we need to know the diameter of the original recipe and the diameter of the new recipe. The Diameter is the distance across the widest part of the circle.
Original Recipe Diameter = 9 Inch
New Recipe Diameter = 12 Inch
The next stage of this Recipe Conversion is to calculate the area of each Recipe.
To calculate the area we multiply the diameter by p (Area = Diameter * p)
Don’t be scared by the mathematical symbol p. The p is just the symbol for pi (no not pie but pi). Pi or p is just a mathematical constant. This means it has a value and pi’s value is 3.142 (well thats not exact but it will do for Recipe Conversion purposes). So back to calculating we replace pi or p with 3.142.
Recipe Area = Diameter * 3.142
So the Orignal Pizza Area will be 9 * 3.142 = 28.278
We now calculate the area our new recipe will have. 12 * 3.142 = 37.704
And next we divide our new area by the old area. 37.704 / 28.278 = 1.333
Therefore to do the Recipe Conversion you need to multiply the Original Recipe quantity by 1.333.
For example if the Original Recipe says 100grams of Sugar. Then 100grams * 1.33 = 133grams. So you need 133grams in your new recipe. Just multiply all the other ingredients in the same way to finsih your Recipe Conversion.
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