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30 Aug 2018, 05:16
Kudos
Bookmarks
C
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% (00:42) correct
17%
(01:04)
wrong
based on 52
sessions
History
Date
Time
Result
Not Attempted Yet
What is the area of the shaded region in the circle above?
(1) The radii shown are 60 degrees apart.
(2) The radius of the circle is 2.
Attachment:
image019 (1).jpg [ 2.03 KiB | Viewed 1822 times ]
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
30 Aug 2018, 05:24
Kudos
Bookmarks
Bunuel
Shaded area - - - > area of sector - area of triangle
Minimum info needed is angle of Arc and radius
St1) just tells that triangle is equilateral (60-60-60---> both radius gives equal angle)
Radius is still missing
Not sufficient
St2) gives radius but not central angle
Combining
We have both required. Don't calculate. Be assure that you know the answer can be derived.
Imho answer is C
Thank you = Kudos
30 Aug 2018, 05:27
Kudos
Bookmarks
Bunuel
PLAN: Area of the shaded region = Area of sector - Area of the unshaded triangle in the sector
Also, Area of Sector = (angle/360)*2πr
Question : Area of the shaded region = ?
Statement 1: The radii shown are 60 degrees apart
This gives us only the angle at the centre which also ensures that other two angles of unshaded triangle are 60º (as other two sides are equal to radius) but it doesn't give us the length of radius hence
NOT SUFFICIENT
Statement 2: The radius of the circle is 2
Now, we know the radius but we don't know the angle at the centre of the sector hence
NOT SUFFICIENT
COmbining the two statements
Area of sector = (60/360)*2π*2 = (2/3)π
Area of the unshaded triangle = (√3/4)*2^2 = √3
Hence area of the shaded region = (2/3)π - √3
SUFFICIENT
Answer: option C
