Friday 27 March 2015

geometry - Numbers of circles around a circle

"When you draw a circle in a plane of radius $1$ you can perfectly surround it with $6$ other circles of the same radius."



BUT when you draw a circle in a plane of radius $1$ and try to perfectly surround the central circle with $7$ circles you have to change the radius of the surround circles.



How can I find the radius of the surround circles if I want to use more that $6$ circles?



ex :
$7$ circles of radius $0.4$




$8$ circles of radius $0.2$

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