Mickey's Super-ears
Geometry
Level
5
Two lines intersect each other forming a right angle. A unit circle (radius 1) is tangent to both of these lines. Two equal size circles with radius \(R>1\) are:
(1) tangent to this circle,
(2) tangent to each other, and
(3) each tangent to one of the lines,
as shown in the figure above.
Calculate \(R\) to two decimal places.
by
Marta Reece