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A lawn sprinkler sprays water in a circu...


A lawn sprinkler sprays water in a circular pattern at a distance of 15 feet from the sprinkler head which rotates through the angle of `(5pi)/(3)` radians, as shown by the shaded area in the diagram above. What is the area of the lawn, to the nearest square foot, that recieves water from this sprinkler?

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