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The figure below shows the top view of a circular room with a circular stage. The diameter of the stage is 24 feet. The shaded portion represents the seating for the audience around the stage. Two concentric circles are drawn and the area between them is shaded. The diameter of the larger circle is shown as 120 feet. A sector with a central angle of 70 degrees is drawn on the circles. The outer circle is not connected in this sector. [Use π =22 over 7] What is the area of the seating portion?
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