OT: Geometry question

[NedFromYork]

Is it possible to fit three 2mm diameter circles in a 4.5mm diameter circle?

 

[YYZ86]

Yes.

 

[ValentinoRossi]

Is it possible to fit three 2mm diameter circles in a 4.5mm diameter circle?

The larger circle only needs to be 4.31mm to fit the three 2mm circles. I’ll spare you the proof but the equation that solves for the minimum size of the larger circle is 2(1+1/cos(30)) = 4.31

 

[YYZ86]

The larger circle only needs to be 4.31mm to fit the three 2mm circles. I’ll spare you the proof but the equation that solves for the minimum size of the larger circle is 2(1+1/cos(30)) = 4.31

I am sure the internet has a calculator for it, but you are spot on.

 

[The Spin Meister]

Maths! I was promised no Maths!🤮😾🧐🤓

 

[Agoodnap]

Is it possible to fit three 2mm diameter circles in a 4.5mm diameter circle?

Can we stack the 2mm circles vertically?

 

[The Spin Meister]

Can we stack the 2mm circles vertically?

You are such a devil. You want to vertically stack two dimensional circles. You know that is an impossibility. Trouble maker.