Author Topic: Dividing Dough Ball = What size Pizza?  (Read 254 times)

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Offline PizzaManic

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Dividing Dough Ball = What size Pizza?
« on: November 11, 2014, 03:57:16 AM »
Hi All

I've been messing around with the Expanded Dough Calc Tool and using basic math without the dough calc tool, if you divide a dough ball in exactly half then theoretically, you should divide the final size of the pizza in exactly half. By means of example, below is a formula for a 12" NY Style dough

Flour (100%):
Water (60%):
IDY (0.25%):
Salt (1.75%):
Vegetable (Soybean) Oil (1%):
Total (163%):
208.61 g  |  7.36 oz | 0.46 lbs
125.16 g  |  4.41 oz | 0.28 lbs
0.52 g | 0.02 oz | 0 lbs | 0.17 tsp | 0.06 tbsp
3.65 g | 0.13 oz | 0.01 lbs | 0.65 tsp | 0.22 tbsp
2.09 g | 0.07 oz | 0 lbs | 0.46 tsp | 0.15 tbsp
340.03 g | 11.99 oz | 0.75 lbs | TF = 0.10605

Using basic math, if you divide the dough ball above into 2 equal paths, then you should also divide the final size of the pizza in half as well, so each 170g dough ball will give you a 6" pizza.

Now if you try and do this on the Dough Calc Tool and you change the size of the pizza on the dough calc tool from 12" to 6", one would expect all of the ingredients mentioned above to divide exactly in half however see the results below.

Flour (100%):
Water (60%):
IDY (0.25%):
Salt (1.75%):
Vegetable (Soybean) Oil (1%):
Total (163%):
52.15 g  |  1.84 oz | 0.11 lbs
31.29 g  |  1.1 oz | 0.07 lbs
0.13 g | 0 oz | 0 lbs | 0.04 tsp | 0.01 tbsp
0.91 g | 0.03 oz | 0 lbs | 0.16 tsp | 0.05 tbsp
0.52 g | 0.02 oz | 0 lbs | 0.11 tsp | 0.04 tbsp
85.01 g | 3 oz | 0.19 lbs | TF = 0.10605

As can be seen, the new formula is way below the expected output, in fact the final dough ball size for the above 6" Pizza is a 1/4 the size of the 12" dough ball.

I further experimented with the dough calc tool by adjusting the pizza size until such time that the ingredients was exactly divided into 2 equal parts of a 12" pizza. This eventually led to a 8.5" pizza whereby the ingredients and formula was exactly half the weights of a 12" Pizza.

I remember once reading that the method used to calc the formula of a particular dough is not linear and based upon many factors hence we have been so kindly provided with the dough calc tool to do the job for us but my question is as follows.

If I use the formula for a 12" dough ball and then after a 24 Hours cold rise in the fridge, I divide this dough ball in exactly half, would I be correct in saying that each half can be stretched out to a 8.5" pizza?

If I divide the above 12" dough ball into 4 equal parts, then each dough will be able to stretch in to a 6" pizza?


Thanks
PM


Offline Montyzumo

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Re: Dividing Dough Ball = What size Pizza?
« Reply #1 on: November 11, 2014, 09:02:06 AM »
Keeping things simple (measuring a circle) , if you divide the dough in two, you divide the area of the pizza  exactly in half, you don't get half the diameter of the pizza (Of course there are other things involved,).  Just go back to your pi x r squared formula. On this simple level you see the relationship between area and diameter. Next you can add a thickness factor so the we are calcukating volume/diameter .......
... Or just trust the calculators which do it for you

Online Pete-zza

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Re: Dividing Dough Ball = What size Pizza?
« Reply #2 on: November 11, 2014, 09:45:36 AM »
PM,

Your analysis is correct, and what Montyzumo says is correct. The relationship between pizza sizes is not linear but rather related to area and the squares of the radii.

To show you this relationship in a simple manner, using your own examples, assume that you have a dough ball weight of 11.99 ounces that is used to make a 12" pizza and that you want to make a 6" pizza with the same thickness factor so that the crust thickness remains the same. The calculation is as follows:

(3 x 3)/(6 x 6) x 11.99 = 3 ounces

The math works pretty much in the same way if you want to, say, make a 16" pizza, but the ratio of the squares of the radii in the numerator and denominator in this case are reversed. So, the calculation in this case is:

(8 x 8)/(6 x 6) x 11.99 = 21.32 ounces

As Montyzumo noted, the dough calculating tools are designed to perform the above types of calculations.

Peter

Online mitchjg

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Re: Dividing Dough Ball = What size Pizza?
« Reply #3 on: November 11, 2014, 09:59:21 AM »
Hoping to simplify and not further complicate:

I usually do not bother to create a ratio of the squares of the radii.  You can get the same result just using the diameters.  A bit quicker/easier (the squared 2's cancel in the numerator and denominator, so to speak). 

Scaling 12 inch pie to 6 inch pie as an example:

(6 x 6) / (12x 12) x 11.99 = 3 ounces.

Mitch

Offline PizzaManic

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Re: Dividing Dough Ball = What size Pizza?
« Reply #4 on: November 11, 2014, 10:33:20 AM »
Thanks guys for quick feedback. Math was never my favourite subject but with the little that I do remember from school days, i pretty much understand your explanation below.

Offline adampawliczek

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Re: Dividing Dough Ball = What size Pizza?
« Reply #5 on: November 11, 2014, 10:45:06 AM »
Math is pizza ;)


 

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