BTGmoderatorDC wrote:
In the figure above, a circle is inscribed in square WXYZ. What is the area of the shaded region?
(1) The shortest distance between point W and point Y is 4 inches.
(2) The area of the circle is 2Ï€ square inches.
OA
D
Source: Veritas Prep
Note that the radius of the circle is half of the side of the square and Side of the square is 1/√2 times the diagonal of the square. Also, note that the shortest distance between W and Y is the diagonal. So from Statement 1, we have diagonal = WY. Thus, we can have the value of side as well as the radius, thereby we can calculate the areas of the square and the circle. The area of the shaded region = Area of the square - Area of the circle. Statement 1 is sufficient.
From Statement 2 (The area of the circle is 2Ï€ square inches.), we can have the radius, thus, the side of the square. In a similar vein, we can get the value of the area of the shaded region.
The correct answer:
D
Hope this helps!
-Jay
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