Question 22
Let $S$ be the set of circles in the coordinate plane that are tangent to each of the three circles with equations $$
x^{2}+y^{2}=4,\qquad x^{2}+y^{2}=64,
$$ and $$
(x-5)^{2}+y^{2}=3.
$$ What is the sum of the areas of all circles in $S?$
x^{2}+y^{2}=4,\qquad x^{2}+y^{2}=64,
$$ and $$
(x-5)^{2}+y^{2}=3.
$$ What is the sum of the areas of all circles in $S?$