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09 Oct 2020, 02:00
Kudos
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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:
15%
(low)
Question Stats:
75% (01:01) correct
25%
(01:18)
wrong
based on 73
sessions
History
Date
Time
Result
Not Attempted Yet
Line segments UV, WX, and YZ are diameters of the circles with centers A, B, and C, respectively. If YZ = 2, then what is the area of the circle with center A ?
A. 4π
B. 8π
C. 9π
D. 16π
E. 64π
Attachment:
1.png [ 23.96 KiB | Viewed 4121 times ]
Updated on: 11 Oct 2020, 06:26
Originally posted by CrackverbalGMAT on 09 Oct 2020, 21:15.
Last edited by CrackverbalGMAT on 11 Oct 2020, 06:26, edited 2 times in total.
Last edited by CrackverbalGMAT on 11 Oct 2020, 06:26, edited 2 times in total.
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Bunuel
Referring to the diagram below, since all the circles touch at point D, then BC = CD = 2 (Radius of the smallest circle)
Therefore BD = Radius of the circle with center B = BD = 2 + 2 = 4
Now, AB = BD = 2
therefore AD = Radius of center A = AD = 2 + 2 = 4
Area = \(\pi r^2 = 4^2 \pi = 16 \pi\)
Option D
Arun Kumar
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circles.jpg [ 382.94 KiB | Viewed 3790 times ]
10 Oct 2020, 02:02
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Answer should be D.
Posted from my mobile device
Posted from my mobile device
