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Circles have equal radii and circles centered at B and D are tangent t

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beretta
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Circles have equal radii and circles centered at B and D are tangent t [#permalink] New post   08 May 2023, 09:15
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28% (01:09) correct 71% (01:48) wrong based on 7 sessions

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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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B
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SwarupSatpathy
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Re: Circles have equal radii and circles centered at B and D are tangent t [#permalink] New post   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.
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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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