When you are ordering pizzas for a group, the same question always comes up: should you order two mediums or one large? From a mathematical perspective, the answer is always one large. Why? It's simple geometry: the formula for the area of a circle is pi times the radius squared. That means that the area of a circle gets bigger with the square of its radius, also known as quadratically, rather than linearly. So by doubling the radius of an 8-inch pizza to get a 16-inch pizza, you're actually quadrupling the area. In other words, you'd need four 8-inch pizzas to equal one 16-inch pizza. That being said, more isn't always better when it comes to pizza. When you're worrying about running out, the bigger pizza is the better option, but when you're worrying about your waistline, there's nothing wrong with settling for the smaller pie. We've collected some awesome videos on this topic. Watch them now to learn more.
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Key Facts In This Video
A slice of pizza has zero Gaussian curvature, so folding it in one direction makes the other direction more rigid to keep the Gaussian curvature constant. 00:44
The area of a pizza increases with the square of its radius, so a pizza that's 50% wider has 100% more area than a smaller pizza. 01:38
Here's how you can use a pizza and a microwave to measure the speed of light. 02:10