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17 Apr 2018, 05:45
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
89% (00:47) correct
11%
(01:07)
wrong
based on 104
sessions
History
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A square is inscribed in a circle. What is the area of the circle?
(1) The area of the square is 18.
(2) The circumference of the circle is \(6\pi\).
(1) The area of the square is 18.
(2) The circumference of the circle is \(6\pi\).
17 Apr 2018, 10:28
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IMO D
if a square is inscribed in a circle then the diagonal of the square is also the diameter of the circle. If we know the value of one we can find the other
Statement (1)- area of the square is given. From this we can find the diagonal of square and hence the radius of the circle. Thus area of the circle can be known. Hence sufficient
Statement(2)-Radius can be known from this and hence the area of the circle. Sufficient
Hence D
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Posted from my mobile device
if a square is inscribed in a circle then the diagonal of the square is also the diameter of the circle. If we know the value of one we can find the other
Statement (1)- area of the square is given. From this we can find the diagonal of square and hence the radius of the circle. Thus area of the circle can be known. Hence sufficient
Statement(2)-Radius can be known from this and hence the area of the circle. Sufficient
Hence D
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Posted from my mobile device
18 Apr 2018, 05:27
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Bunuel
We are given that square is inscribed in a circle, but we dont know whether its the largest possible square inscribed in that circle or not.
To solve this question, we need to know the radius of this circle.
(1) Area of square = side*side = 18. So side of square can be found but we dont know whether its the largest possible square which can be inscribed in this circle, so we cannot apply the relation that diagonal of this square = diameter of this circle. So we cannot find the diameter or the radius of this circle. So not sufficient.
(2) Circumference is given, so we can find the radius, and can thus find the area. Sufficient.
Hence B answer
