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13 Sep 2018, 02:23
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
53% (02:07) correct
47%
(01:35)
wrong
based on 53
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If a circle is inscribed in a square as shown above, is the area of the circle greater than 16π?
(1) The area of the square is greater than16.
(2) Each of the four shaded regions between the square and the circle has an area equal to 9 – 9/4*π.
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13 Sep 2018, 03:50
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Bunuel
Question: Is area of circle > 16π?
Question: Is Radius of circle > 4?
Question: Is Side of the square > 8?
Statement 1: The area of the square is greater than16.
i.e. side of square > 4
but it may or may not be greater than 8 hence
NOT SUFFICIENT
Statement 2: Each of the four shaded regions between the square and the circle has an area equal to 9 – 9/4*π.
i.e. \((1/4[(2r)^2 - πr^2] = 9 - (9/4)π\)
i.e. r = 3
i.e. r is NOT greater than 4 hence
SUFFICIENT
Answer: option B
13 Sep 2018, 03:55
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Answer is B
By the first statement, we can say that the area of circle will be minimum 4*Pie i.e., approx 12 but it can also be greater than 16. Hence Insufficient.
By the second statement, we will get a specific value of radius. Hence sufficient.
By the first statement, we can say that the area of circle will be minimum 4*Pie i.e., approx 12 but it can also be greater than 16. Hence Insufficient.
By the second statement, we will get a specific value of radius. Hence sufficient.
