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.
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.
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.
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?
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.
I think its the calculator app, with a bit of prompt engineering to get the needed results.
Android Studio + a bit of math?
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!
On this episode of: The internet goes to primary school
3 small dominos have more area than 2 large, even though they are cheaper.
It’s 6.99 for a 12in pizza with 2 toppings but $20 for a 18in with no toppings. I don’t even know why it’s a option.
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.
Woah woah woah… We need to BTFU and reevaluate our test methodology. No one defined what “pizza” is in this case…
Are we saying the whole pie, crust and all? Or are we saying ratio of crust to filling? This equation is flawed.
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it is not about a difference in value, but how they harmonize together. the interior of the pizza gets its strength from the crust, and vice versa, but these elements are only truly in harmony once the pizza achieves an ideal pie/crust ratio.
Dominos actually got better. It’s not amazing but they took it on the chin a few years back and were like, “our pizza sucks. We need to do better” and they actually improved it quite a bit.
I actually liked it better when it sucked more. I have no idea why. Maybe I identified it as college comfort food.
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They also have carryout one topping 14" pizzas for $8 in my area, which is an even better deal than $7 for 12".
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.
The most worthwhile comparison is of the surface area, excluding crust. Crust quotient must be disregarded.
Not if you like crust
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.
At least you didn’t measure the pizzas with your feet.
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.
What’s an inch?
1in = 2.54cm
^beep ^boop ^I’m ^not ^a ^bot
About the length of the last segment of your thumb.
Not enough
dang
About 1/5th the size of the average American penis
I saw this exact thing in a pizza shop an hour ago. What the actual hell
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
yeah, but
C_1 = pi * d = 3,14 * 18 = 56,52
C_2 = pi * d * 2 = 3,14 * 12 * 2 = 75,36so the smaller ones have 50% more crust and are therefor more delicious.
This is not righteous.
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Pizza π
The volume of a pizza with a radius of “z” and a height of “a” is π*z2*a, or pi*z*z*a
Very nice :)
