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Circles have equal radii and circles centered at B and D are tangent t
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08 May 2023, 09:15
08 May 2023, 09:15
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Question Stats:
28% (01:09) correct
71% (01:48) wrong based on 7 sessions
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Screenshot 2023-05-08 at 7.12.39 PM.png [ 104.91 KiB | Viewed 1018 times ]
3 Circles have equal radii and circles centered at B and D are tangent to each other at C.
Quantity A |
Quantity B |
area of the shaded region |
area of the unshaded region |
A:Quantity A is greater.
B:Quantity B is greater.
C:The two quantities are equal.
D:The relationship cannot be determined from the information given.
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Re: Circles have equal radii and circles centered at B and D are tangent t
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09 May 2023, 10:09
09 May 2023, 10:09
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In the diagram, the shaded region is marked by red color and since the area of the 3 circles are equal, the shaded region can clearly be observed to be area of 4 quadrants, forming up the area of 1 circle.
On the contrary, the area of the unshaded region is the uncolored portion along with the region colored in black. The uncolored portion has clearly the area of 1 circle (2 semicircles) and the black area is the extraneous area which makes the area of the unshaded region > the area of the shaded region.
Thus, B is the correct answer choice for this quant comp question.
On the contrary, the area of the unshaded region is the uncolored portion along with the region colored in black. The uncolored portion has clearly the area of 1 circle (2 semicircles) and the black area is the extraneous area which makes the area of the unshaded region > the area of the shaded region.
Thus, B is the correct answer choice for this quant comp question.
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circle.jpeg [ 112.41 KiB | Viewed 982 times ]
gmatclubot
Re: Circles have equal radii and circles centered at B and D are tangent t [#permalink]
09 May 2023, 10:09
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