@zatnosk @noelle I listed a couple of assumptions in that paste. Notably, I assumed both r and R > 0. Because the question was only interested in the _ratio_ of r to R, the particular values don't matter, so I fixed R = 1 to make r the ratio.

I think you're right in that there is an error here, but I don't think it's that specifically given the assumptions I made.

I'll work on it some more today and get back to y'all.

tender lumplings everywhere@noelle@elekk.xyzan odd math problem that just popped into my head

Let the radius of each yellow circle be r, and the radius of the red circle be R.

What ratio of r to R maximizes the blue area? The number of yellow circles can vary as needed, as long as the other qualities are met (no gaps between yellow circles, no partial circles).

(I don't know the answer and I'm not sure how I'd begin solving it; it just popped into my head.)

2/2