Pizza Quiz Puzzle Answer


A colleague of ours went for lunch at the local Pizza Restaurant.

She ordered a 12-inch pizza, but when the order arrived she received two 8-inch pizzas. The server said that the had run out of 12-inch pizzas with her requested topping, so the kitchen had cooked the 8-inch pizzas instead. And what's more, the restaurant would charge her the price of the 12-inch pizza.

What would you have done?

Obviously someone thought that two 8-inch pizzas was more than a single 12-inch pizza - two times eight is 16, which is more than twelve!

However, the area of a pizza (or anything circular come to that) is proportional to the square of its radius.

In this case an 8-inch pizza, with a radius of four inches, has an area of 16 x Pi. And two will have a combined area of 32 x Pi.

On the other hand, a 12-inch pizza, with a radius of six inches, has an area of 36 x Pi. Which is less than the two 8-inch pizzas.

So this is not a good deal.

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