numbers of circle inscribing in another circle

[Mohammed BOUAYOUN]

That circle on radius 1
how much circle of radius 1/n can be inscribing in the first circle (radius 1) ?

if radius=1 ===>  nb = 1
radius=1/2  ===>  nb=2
radius=1/3 ===> nb 5 or 7 ?

radius =1/n ===> nb = ?

Thanks

M.Bouayoun
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