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Jack waters his lawn with a sprinkler th...

Jack waters his lawn with a sprinkler that sprays water in a circular pattern. The maximum reach of the sprinkler is 15 feet , and the sprinkler head rotates through an angle of `300^@` , as shown in the diagram below . The sprinkler head is represented at point O.

To the nearest square foot , what is the area of the lawn (the shaded area ) that receives water from the sprinkler ?

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