MathDB

Six small circles of radius

1

are drawn so that they are all tangent to a larger circle, and two of them are tangent to sides

BC

and

AD

of a rectangle

ABCD

at their midpoints

K

and

L

. Each of the remaining four small circles is tangent to two sides of the rectangle. The large circle is tangent to sides

AB

and

CD

of the rectangle and cuts the other two sides. Find the radius of the large circle. https://cdn.artofproblemsolving.com/attachments/b/4/a134da78d709fe7162c48d6b5c40bd1016c355.png

Problem Statement