Jack wants to use a circular rug on his rectangular office floor to cover two small circular stains, each less than $$\frac{π}{100} $$square feet in area and each more than 3 feet from the nearest wall. Can the rug be placed to cover both stains?
(1) Jack's rug covers an area of 9π square feet.
(2) The centers of the stains are less than 4 feet apart.