When you've played with too many wizards

https://lemmy.world/post/45633412

A 30x30 or even 40x40 room would be far more satisfying. Fireball’s radius is 20ft, diameter is 40ft.
Fireball packing in a room is a classic wizard recreational math problem.
Circle packing in a square - Wikipedia

This isn’t quite the same problem, though.

Wouldn’t the wizard version be:

What is the arrangement of circles which can completely cover a given area, leaving no gaps, using the fewest circles?

In this case, the circles are allowed to overlap.