How Does The Remarkable Way We Eat Pizza - Numberphile Work?

We can divide a pizza into equal slices by using just a few simple cuts, and it’s all because of how circles work.

Imagine you have a round pizza like a big, flat coin. If you want to share it with your friends, you could make straight lines from the center to the edge, these are called cuts. Each cut divides the pizza into pieces. If you make one cut, you get 2 halves. Two cuts (crossing each other), and now you have 4 equal slices, like a square pizza, but still round.

Now here’s the fun part: if you make just three cuts, and you arrange them so they all come from the center and are evenly spaced, you’ll get 6 equal slices. It's like cutting the pizza into six little triangles, one for each of your friends!

This works because a circle has 360 degrees, and if you divide it by 6, each slice gets exactly 60 degrees. So even though the pizza is round, you can split it up with simple straight cuts like slicing an apple or cutting a cake.

And guess what? If you want more slices, just add more cuts, and keep them evenly spaced! We can divide a pizza into equal slices by using just a few simple cuts, and it’s all because of how circles work.

Imagine you have a round pizza like a big, flat coin. If you want to share it with your friends, you could make straight lines from the center to the edge, these are called cuts. Each cut divides the pizza into pieces. If you make one cut, you get 2 halves. Two cuts (crossing each other), and now you have 4 equal slices, like a square pizza, but still round.

Now here’s the fun part: if you make just three cuts, and you arrange them so they all come from the center and are evenly spaced, you’ll get 6 equal slices. It's like cutting the pizza into six little triangles, one for each of your friends!

This works because a circle has 360 degrees, and if you divide it by 6, each slice gets exactly 60 degrees. So even though the pizza is round, you can split it up with simple straight cuts like slicing an apple or cutting a cake.

And guess what? If you want more slices, just add more cuts, and keep them evenly spaced!