Which is a better deal, two 8" pizza or one 12" pizza?
Here’s a story of how geometry saved a guy some money (and who says you’ll never use math in real life?)
Link – via Miss Cellania (Photo from Matt McGee [Flickr])
Dave
Which is the better deal depends on whose pizza you’re talking about, and whether the crust is worth eating.
I got a good laugh from one of the comments on the linked site:
More like “Geometry made me fatâ€.
v.dog
It’s easier than that, you don’t even need to use Pi at all. 8^2 + 8^2 = 128 vs 12^2 = 144. The one pizza is bigger by 16^0.5 = 4 square inches (the square root of 144-128).
Alex
v.dog, you still need pi. Here’s why: area is pi*(radius^2), so…
The area of the 12 inch pizza is pi*(6^2) = 36pi
The area of the 8 inch pizza is pi*(4^2) = 16pi, but there’s two of them, so total area = 2* 16 pi, so it’s 32 pi.
The difference between the two is 36pi – 32pi = 4pi. That’s roughly 4×3 or 12 square inch of pizza pie, not 4.
Dave is right in terms of crust, the two 8″ pizza pies will have more crust than the 12″ pie.
aj
alex, you don’t need the pi – you can divide it out of the equation you’ve given.
Alex
No aj, in order to find out the difference in the area of the pies, you need the pi.
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