SMO 2012 Junior Round 1 Question 6
SMO · SMO 2012 Junior Round 1
Four circles each of radius $x$ and a square are arranged within a circle of radius $8$ as shown. What is the range of $x$?
$0\lt x\lt 4$
$0\lt x\lt 8(\sqrt2+1)$
$4-2\sqrt2\lt x\lt 4$
$4-2\sqrt2\lt x\lt 8(\sqrt2-1)$
$4-\sqrt2\lt x\lt 4(\sqrt2+1)$