Fencing encloses a rectangular backyard that measures 200 feet by 600 feet. A blueprint of the backyard is drawn on the coordinate plane so that the rectangle has vertices (0,0),(0,30),(10,30) , and (10,0) .
A circular flower garden is dug to be exactly in the center of the backyard, with a radius of 40 feet. This garden is represented on the blueprint.
What is the equation of the flower garden represented on the blueprint?