DarkKnight wrote:Will the circle with centre O fit inside the square ABCE?
1). The diameter of the circle is less than a side of the square
2). The area of the circle is less than the area of square
I am lost at the second statement. Thanks for your help. Answer after few responses.
Let d = diameter of the circle with center O.
Let s = side of square ABCE.
If d ≤ s, then the circle will fit inside the square.
Statement 1: d < s.
Sufficient.
Statement 2: area of circle < area of square.
If s = 20, then the area of the square = 20*20 = 400.
If d = 20, then r = 10, and the area of the circle = π(10^2) = 100π ≈ 300.
Area of the circle < area of the square, and the circle will fit inside the square, since d = s.
If d = 22, then r = 11, and the area of the circle = π(11^2) = 121π ≈ 363.
Area of the circle < area of the square, but the circle will not fit inside the square, since d > s.
Insufficient.
The correct answer is
A.
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