A piece of farmland is a watering plot of land in a circular pattern. A sewer line needs to be installed from a new housing project to a processing plant The city does not want the sewer line to cross the farm land. Can a direct line be installed? Let 1 unit = 100 feet.
The entry to the sewer plant is at (2,3)
The sewage exit from the housing project is at (12,6)
The sprinkler system extends 200 ft and the center of the land is at (8,3)
Will the sewer line cross the farmland? If so then at what points?
If the farmer wants to maximize the farming area and does not want to cross the sewer line, what is the longest sprinkler system that could be installed?