Question 28
Circles with centers $A,$ $B,$ and $C$ each have radius $r,$ where $1\lt r\lt2.$ The distance between each pair of centers is $2.$ If $B'$ is the point of intersection of circle $A$ and circle $C$ which is outside circle $B,$ and if $C'$ is the point of intersection of circle $A$ and circle $B$ which is outside circle $C,$ then length $B'C'$ equals
