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# What is the area of the shaded region? (1) Radius of circle with cente

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Math Expert
Joined: 02 Sep 2009
Posts: 52161

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04 Sep 2018, 22:30
00:00

Difficulty:

45% (medium)

Question Stats:

44% (00:48) correct 56% (01:18) wrong based on 24 sessions

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What is the area of the shaded region?

(1) Radius of circle with center O is one-third the radius of the circle with center P.
(2) The area of the unshaded region is 36π

Attachment:

image013.jpg [ 2.31 KiB | Viewed 325 times ]

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05 Sep 2018, 00:18
Bunuel wrote:

What is the area of the shaded region?

(1) Radius of circle with center O is one-third the radius of the circle with center P.
(2) The area of the unshaded region is 36π

Attachment:
image013.jpg
St1) figure is not restricted. Various sizes circle are possible with varying common overlaps. Another way to think is count information is asked but ratio information is given.
Not suff.

St2) various radius can give 36pi as area of unshaded region. So overlap will keep on changinh.

Combining: the radius is restricted and unshed area is restricted. So only one unique value of common overlap exist

Thank you = Kudos
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Thank you =Kudos
The best thing in life lies on the other side of the pain.

Manager
Joined: 08 Oct 2015
Posts: 241

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05 Sep 2018, 01:02
i think the ans should be e

Manager
Joined: 08 Oct 2015
Posts: 241

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05 Sep 2018, 01:17
sumit411 wrote:
Bunuel wrote:

What is the area of the shaded region?

(1) Radius of circle with center O is one-third the radius of the circle with center P.
(2) The area of the unshaded region is 36π

Attachment:
image013.jpg
St1) figure is not restricted. Various sizes circle are possible with varying common overlaps. Another way to think is count information is asked but ratio information is given.
Not suff.

St2) various radius can give 36pi as area of unshaded region. So overlap will keep on changinh.

Combining: the radius is restricted and unshed area is restricted. So only one unique value of common overlap exist

Thank you = Kudos

area of A + Area of B - 2(shaded region) = 36 pi

with the available info, we can not calculate the area of the shaded region
Math Expert
Joined: 02 Aug 2009
Posts: 7199

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05 Sep 2018, 01:21
1
1
rahulkashyap wrote:
i think the ans should be e

Yes you are correct..

Individually each statement is incorrect so let's look at combined
There can be various ways ..
1) both are concentric as shown in sketch , so 36π=πr^2 as the area is smaller circle will be completely shaded.. r=6
R of larger circle =6*3=18
Area of unshaded portion is π(18^2-6^2)

2) say the radius of each are very large 100 and 3*100
Then a small overlapped portion can give you 36π

E
Attachments

PicsArt_09-05-02.50.42.jpg [ 46.62 KiB | Viewed 236 times ]

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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

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Re: What is the area of the shaded region? (1) Radius of circle with cente &nbs [#permalink] 05 Sep 2018, 01:21
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