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505-555 Level|   Geometry|            
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Bunuel
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The figure above represents the floor of a square foyer with a circular rug partially covering the floor and extending to the outer edges of the floor as shown. What is the area of the foyer that is not covered by the rug?

To determine this, we need to take the area of the rug and subtract this from the area of the foyer. All we need is the area of one of the sides of the foyer to determine both areas.

(1) The area of the foyer is 9 square meters. Sufficient--from this we can determine the length of one side of the foyer.
(2) The area of the rug is 2.25π square meters. Sufficient--from this we can determine the radius of the rug, which equals half the length of one side of the foyer.

Choice D
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Hello from the GMAT Club BumpBot!

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