Suppose that you have a rectangular field that requires watering.Your watering system consists of an arm of variable length that rotates so that the watering pattern is a circle. Decide where to position the arm and what length it should be so that the entire field is watered most efficiently.When does it become desirable to use more than one arm?

Use a rectangular coordinate system positioned as shown in the figures. Write equations for the circle(s) swept out by the watering arm(s).

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УА УА Square field Rectangular field, two arms Rectangular field, one arm