# What's the smallest country that can fit everyone standing six feet apart?

Today’s xkcd got me wondering how much land would we need if everyone stood six feet apart.

## Methodology

### We are all but spherical cows

If we want everyone to keep a minimum distance of from each other, the problem boils down to efficiently packing circles of radius in the smallest area possible. This can be calculated as follows:

Area of a circle with radius ,

Optimal circle packing density^{1},

Area required for people,

### Crunching the numbers

Plugging in the current world population^{2} and the recommended distance of 6 feet^{3}:

we get

### And the answer is…

According to Wikipedia^{4}, this is just shy of the land area of **Portugal 🇵🇹**.
We could also squeeze into **Hungary 🇭🇺** if some of us were willing to swim.

## Corollaries

### How many people can San Francisco fit standing 6 feet apart?

Dividing the area of San Francisco by , gives
us around **10.5 million** people.

### Are there any countries where people couldn’t stand 6 feet apart?

1 square mile of land can have 223,563 people standing 6 feet apart. This is
much higher than the most densely populated countries and territories in the
world^{5}.