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I once taught private lessons in math on calculating the area of a circle and I wanted to show the students how much cheaper per area a larger pizza is. So we of course got the diameters of pizzas from their favorite restaurant and started calculating. Then we found out that the normal sized pizza was actually the cheapest per area. It wasn‘t quite what we expected, but a very good math lesson for the attendees nonetheless: The owner lost money, because they were bad at maths.
I have an app for that, put the price and diameter of different pizzas and it says what's the best one price wise.
What's the app?
I think its the calculator app, with a bit of prompt engineering to get the needed results.
Looks fun but unfortunately I can't install it on my updated Pixel 7 Pro with the latest Android 14, Dec 5th update. Any ideas?
Try an older version, but i doubt that would work. Try to compile a new version with the code published, or open an issue alerting is not working on your android version.
Android Studio + a bit of math?
Lol aww c'mon, I'm too hungry for pizza, don't make me do geometry! 😅
Did you take into account that the crust takes away area from the "filling"? Because me and my husband also once did the math (not sure if we were frugal, bored or broke) and it all came down on whether you eat/enjoy the crust or not
Crust is part of the pizza. That's what dipping sauces are for.
Where I live there is nothing like dipping sauces for pizza and thankfully so
We would just ask for extra marinara sauce or donair sauce on the side before the prepackaged dipping sauces were introduced. Dipping crusts in sauce has been around for a very long time...even where you live...
One of the most common dipping sauces is the same sauce put on the pizza, just put some aside next time you make a pizza.
If you let the radius be Z, then you can find the area of a pizza with a simple formula:
Pi * Z * Z = A
I love this
I wish I could award you with fake Internet points.
On this episode of: The internet goes to primary school
What's an inch?
Not enough
dang
About the length of the last segment of your thumb.
About 1/5th the size of the average American penis
1in = 2.54cm
^beep ^boop ^I’m ^not ^a ^bot
This is why, if you order pizza, getting anything less that the absolute largest size they offer is throwing your money away. Leftover pizza is great.
The math only really works for 18+ inch pizzas though. The pizza places around me don't even offer 18 inch pizzas. 14" large or 16" XL are the highest they go. In that case at most places near me, two twelves is often cheaper per square inch and does have more area than one 14" or 16". Especially since Domino's usually has coupons for two 12s that make it significantly cheaper than 1 L or XL.
Factor in the crust ratio of those though. We're talking 1.5 inch of crust, so 16" vs 12" is actually more like comparing 13" to 9" of pizza with cheese and topping. 132 v 64 square inches. You're getting 70 squares inches of crust on that 16", and 49 square inches of crust on the 12 inch. So more total food on 2 12s, but a lot more crust than one 16.
Even better!
Make it extra crust with pieces of crust as a topping and it'll be perfect.
Pizza place that just opened up down the street from me only offers one size:
18 inches.
The other option is to purchase by the slice.
You can compare areas with just r^2 you don't even need pi. So the math is easy.
A pizza is larger than two of another just before it hits 1.5 times the radius (sqrt 2 times, to be exact, about 1.41). So if the radius is 1.5 times bigger, like in the OP, you always know it's more than twice the area.
Importantly, it also has a different crust-to-center ratio, which - depending on your taste - could be a reason to go for less pizza.
given a choice, i usually go with larger pizzas for crispy thin crust (also cut those in squares); and smaller ones for 'deep dish' or pan, where there isn't really an outside 'crust'.
I saw this exact thing in a pizza shop an hour ago. What the actual hell
you can fit more pineapples on the one 18 inch pizza
Pizza π
The volume of a pizza with a radius of "z" and a height of "a" is π*z^2^*a, or pi*z*z*a
Very nice :)
fun fact: to find the actual diameter of the pizza that would larger by a factor of x its (D/2)*2√x
good luck finding a place that offers irrational size pizza though
At least you didn't measure the pizzas with your feet.
yeah, but
C_1 = pi * d = 3,14 * 18 = 56,52
C_2 = pi * d * 2 = 3,14 * 12 * 2 = 75,36
so the smaller ones have 50% more crust and are therefor more delicious.
This is not righteous.
How come I am able to eat an entire 18'' pizza to my face but get full of I try eating two 12'' pies? 🤨
Perhaps the crust is more filling than the rest of the pizza?
2 12" pizzas are 112.5% the surface area of as single 18" pizza.
The most worthwhile comparison is of the surface area, excluding crust. Crust quotient must be disregarded.
Not if you like crust
But… it’s twice as many slices!