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gmat prep question
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the figure above shows the top side of a circular medallion made of circular piece of colored glas sorrounded by a metal frame, represented by the shaded region. If the radius of the medallion is r centimeters and the width of the metal frame is s centimeter , then in terms of s and r , what is the area of the metal frame in square centimeters?
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Tame the CAT
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Cybermusings
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Since the figure is not there...I am pre-supposing that the radius of the medallion (minus the frame) is r
Area of medallion = pie*r^2
Area of medallion + frame = pie*(r+s)^2
So area of frame alone = pie*(r+s)^2 - pie*r^2
= pie*s^2 - 2*pie*r*s
Area of medallion = pie*r^2
Area of medallion + frame = pie*(r+s)^2
So area of frame alone = pie*(r+s)^2 - pie*r^2
= pie*s^2 - 2*pie*r*s
