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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. What is the area of the seating portion?
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diameter of whole room=120 ft
diameter of the stage is 1/5 th of the whole room.. so, area of the whole stage = 1/25 th of the area of the whole room
now, completing the circle, find out the area of the whole room.. now, the area of the sector= 29/36 th of the circular area.. find 24/25 th of the sector, that is the area of the seating portion
[Use π =22/7] What is the area of the seating portion? 9114.29 ft2 8661.71 ft2 10707. 71 ft2 8749.71 ft2
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