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Updated on: 15 Jul 2019, 04:05
Originally posted by Bunuel on 09 Oct 2018, 01:15.
Last edited by Sajjad1994 on 15 Jul 2019, 04:05, edited 2 times in total.
Last edited by Sajjad1994 on 15 Jul 2019, 04:05, edited 2 times in total.
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
83% (00:56) correct
17%
(00:59)
wrong
based on 69
sessions
History
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Time
Result
Not Attempted Yet
ABCD is a square and one of its sides AB is also a chord of the circle as shown in the figure. What is the area of the square?
(A) 3
(B) 9
(C) 12
(D) 12√2
(E) 18
Source: Nova GMAT
Difficulty Level: 600
Difficulty Level: 600
Attachment:
figure.jpg [ 30.59 KiB | Viewed 6850 times ]
SushiVoyage
Updated on: 09 Oct 2018, 01:26
Originally posted by SushiVoyage on 09 Oct 2018, 01:22.
Last edited by SushiVoyage on 09 Oct 2018, 01:26, edited 1 time in total.
Last edited by SushiVoyage on 09 Oct 2018, 01:26, edited 1 time in total.
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Since the radii of the circle and the chord form a right angled triangle, the length of the chord becomes 3\sqrt{2}.
Further, the chord is the side of the square. Using the formula for the area of a square, the area is 3\sqrt{2}*3\sqrt{2}= 18 sq units. Answer E.
Further, the chord is the side of the square. Using the formula for the area of a square, the area is 3\sqrt{2}*3\sqrt{2}= 18 sq units. Answer E.
09 Oct 2018, 01:24
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Bunuel
AB is basically the side hypontuse of the triangle and side of a square.
\(AB^2 = 3^2 + 3^2\)
AB = \(\sqrt{18}\)
Area of the square = AB*AB = \(\sqrt{18*18}\) = 18
The best answer is E.
