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 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.
You didn't consider the crust ratio, did you?
The crust tends to be a consistent width, so it represents a greater portion of a smaller pizza, shrinking the bit most people are there for.
...but hey, if you love the crust just as much, more power to ya!
Keeping the total pizza volume fixed, many smaller pizzas also means more boxes.
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.
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
But the 2 12” pizzas have more crust, so it depends what you prefer.
I’m wholly in the pizza centre and fuck the crust camp. But for those who like the crust…
You're meant to eat the crust, not fuck it, that might be where you're going wrong
You're meant to eat the crust, not fuck it
Really? Guess now I know why everyone has been looking at me funny after the company pizza party 🤔
I mean I like crust but who's out here looking for a higher crust ratio?
Shit man, I'm a crust guy but hate paying more for less...
You sort of ruined my life now.
Merry x-mas you bastard
ok but that picture is clearly one 18" pizza vs two 18" pizzas that have been hit by a shrink ray, meaning the two on the right have twice as much nutrition as the one on the left.
Ah but it's mini-nutrition now, so you have to shrink yourself in order for your body to be able to process it
On this episode of: The internet goes to primary school
What's an inch?
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.
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.
Depends on the price difference.
https://www.omnicalculator.com/food/pizza-comparison
Domino's is hardly considered pizza by most but it's $7 for a 12in. A 18in is $20. That's almost 3 pizzas. And the 12in has 2 toppings. The 18in has 0 toppings.
That's calculator doesn't take into account the crust ratio, which is much higher for smaller pizzas too.
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.
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
The most worthwhile comparison is of the surface area, excluding crust. Crust quotient must be disregarded.
I saw this exact thing in a pizza shop an hour ago. What the actual hell
I figured this out pretty quick when I was 16 trying to calculate the optimal pizza per $ order when I first started getting allowance
Importantly, it also has a different crust-to-center ratio, which - depending on your taste - could be a reason to go for less pizza.
How come I am able to eat an entire 18'' pizza to my face but get full of I try eating two 12'' pies? 🤨
At least you didn't measure the pizzas with your feet.
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