2005 PMWC Problems/Problem I4
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Problem
The larger circle has radius 12 cm. Each of the six identical smaller circles touches its two neighbours and the larger circle. What is the radius of the smaller circle?
![[asy] unitsize(0.5cm); draw((0,3)..(3,0)..(0,-3)..(-3,0)..cycle); for (int i=0;i<6;i=i+1){ draw(dir(60*i)..3*dir(60*i)..cycle); } [/asy]](http://latex.artofproblemsolving.com/6/e/3/6e3d06c0755130a0ee8410321e24b4f90f9aabd9.png)
