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In the figure CD=2OA=2OB. Find the area of the shaded region 1. ABCD i

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S
Joined: 17 Oct 2016
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Concentration: Operations, Strategy
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In the figure CD=2OA=2OB. Find the area of the shaded region 1. ABCD i [#permalink]

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New post 28 Nov 2017, 01:21
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Question Stats:

72% (00:20) correct 28% (00:56) wrong based on 18 sessions

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In the figure CD=2OA=2OB. Find the area of the shaded region
1. ABCD is a square of area 64
2. Product of the diagonals of the square ABCD is 128
[Reveal] Spoiler: OA

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Help with kudos if u found the post useful. Thanks

Kudos [?]: 38 [0], given: 89

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Kudos [?]: 6157 [0], given: 121

Re: In the figure CD=2OA=2OB. Find the area of the shaded region 1. ABCD i [#permalink]

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New post 28 Nov 2017, 01:33
Sasindran wrote:
In the figure CD=2OA=2OB. Find the area of the shaded region
1. ABCD is a square of area 64
2. Product of the diagonals of the square ABCD is 128



CD=2*OA=2*OB..
Means..
OA=OB=radius
CD=DIA..

So area of quarter circle and semi circle combined =Area of circle, with DIA as side of square..

So what we require is the side of the square or distribution of circle..

Let's see what each statement tells us.
1) ABCD is a square of area 64
So side =√64=8
Sufficient
2. Product of the diagonals of the square ABCD is 128
Diagonal of square =side*√2..
Product of diagonals=side^2*√2^2=2*side^2=128.....
Side^2=64
Side=8
Sufficient

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Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html

Kudos [?]: 6157 [0], given: 121

Re: In the figure CD=2OA=2OB. Find the area of the shaded region 1. ABCD i   [#permalink] 28 Nov 2017, 01:33
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In the figure CD=2OA=2OB. Find the area of the shaded region 1. ABCD i

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