What is the area of the innermost circle which is inscribed : GMAT Data Sufficiency (DS)
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 21 Jan 2017, 17:15

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# What is the area of the innermost circle which is inscribed

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:

### Hide Tags

Intern
Joined: 27 Sep 2010
Posts: 27
Followers: 1

Kudos [?]: 63 [0], given: 3

What is the area of the innermost circle which is inscribed [#permalink]

### Show Tags

23 Jan 2011, 02:11
00:00

Difficulty:

15% (low)

Question Stats:

75% (01:42) correct 25% (00:54) wrong based on 161 sessions

### HideShow timer Statistics

Attachment:

untitled3.JPG [ 5 KiB | Viewed 3439 times ]
What is the area of the innermost circle which is inscribed in the square?

(1) Area of the ABCD is square 49.
(2) Circumference of the outermost circle is 7Πcm.
[Reveal] Spoiler: OA
Math Expert
Joined: 02 Sep 2009
Posts: 36590
Followers: 7092

Kudos [?]: 93364 [0], given: 10557

Re: Area of the innermost circle which is inscribed in the s [#permalink]

### Show Tags

23 Jan 2011, 02:39
MichelleSavina wrote:
Q) What is the area of the innermost circle which is inscribed in the square?
(1) Area of the ABCD is square 49.
(2) Circumference of the outermost circle is 7Πcm.

What is the area of the innermost circle which is inscribed in the square?

Knowing the length of a side of a square is sufficient to calculate the radius of the inscribed or circumscribed circle (the length of a side defines the radius of the inscribed or circumscribed circle) and vise-versa: knowing the length of a radius is sufficient to to calculate the side of the inscribed or circumscribed square.

(1) Area of the ABCD is square 49 --> we can get the length of a side and then going step by step get the radius of the innermost circle to calculate the area. Sufficient.

(2) Circumference of the outermost circle is 7Πcm --> we can get the radius of this circle and then going step by step get the radius of the innermost circle to calculate the area. Sufficient.

For more check: math-circles-87957.html and math-triangles-87197.html

Please post PS questions in the PS subforum: gmat-problem-solving-ps-140/ and DS questions in the DS subforum: gmat-data-sufficiency-ds-141/

Topic moved to the DS subforum.
_________________
Intern
Joined: 13 Oct 2010
Posts: 21
Location: Milpitas, CA
Followers: 3

Kudos [?]: 6 [0], given: 0

Re: Area of the innermost circle which is inscribed in the s [#permalink]

### Show Tags

23 Jan 2011, 02:46
MichelleSavina wrote:
What is the area of the innermost circle which is inscribed in the square?
(1) Area of the ABCD is square 49.
(2) Circumference of the outermost circle is 7Πcm.

Just remember the fact that whenever some regular shape is inscribed or circumscribed in another regular shape, always there exists a relation between their area. Here regular shape means circle, equilateral triangle or square or regular pentagon/hexagon etc.

Statement 1: We know the are of the square ABCD. Hence, we can determine the areas of the inner shapes.

Sufficient

Statement 2: We know the radius of the outermost circle. Hence we can determine the lengths of sides or radius of the inner shapes and hence their areas.

Sufficient

[Reveal] Spoiler:
The correct answer is D.

_________________

Anurag Mairal, Ph.D., MBA
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
1-800-566-4043 (USA)
+91-99201 32411 (India)

Intern
Joined: 27 Sep 2010
Posts: 27
Followers: 1

Kudos [?]: 63 [0], given: 3

Re: Area of the innermost circle which is inscribed in the s [#permalink]

### Show Tags

23 Jan 2011, 06:49
Bunuel wrote:

Please post PS questions in the PS subforum: gmat-problem-solving-ps-140/ and DS questions in the DS subforum: gmat-data-sufficiency-ds-141/

Topic moved to the DS subforum.

Sorry about that... i was in a hurry, so did it by mistake.. ...
Manager
Joined: 18 Oct 2010
Posts: 92
Followers: 2

Kudos [?]: 8 [0], given: 0

Re: Area of the innermost circle which is inscribed in the s [#permalink]

### Show Tags

24 Jan 2011, 08:24
Bunuel wrote:
MichelleSavina wrote:
Q) What is the area of the innermost circle which is inscribed in the square?
(1) Area of the ABCD is square 49.
(2) Circumference of the outermost circle is 7Πcm.

What is the area of the innermost circle which is inscribed in the square?

Knowing the length of a side of a square is sufficient to calculate the radius of the inscribed or circumscribed circle (the length of a side defines the radius of the inscribed or circumscribed circle) and vise-versa: knowing the length of a radius is sufficient to to calculate the side of the inscribed or circumscribed square.

(1) Area of the ABCD is square 49 --> we can get the length of a side and then going step by step get the radius of the innermost circle to calculate the area. Sufficient.

(2) Circumference of the outermost circle is 7Πcm --> we can get the radius of this circle and then going step by step get the radius of the innermost circle to calculate the area. Sufficient.

For more check: math-circles-87957.html and math-triangles-87197.html

Please post PS questions in the PS subforum: gmat-problem-solving-ps-140/ and DS questions in the DS subforum: gmat-data-sufficiency-ds-141/

Topic moved to the DS subforum.

can you please describe more clearly? i dont understand...
it askes us to find what the area of the INNERMOST circle... we surely know the length of sides of ABCD and also know radius of circle but we dont know the area of the inner square so how could we find the radius of the innermost circle???
can you please explain me?
Math Expert
Joined: 02 Sep 2009
Posts: 36590
Followers: 7092

Kudos [?]: 93364 [1] , given: 10557

Re: Area of the innermost circle which is inscribed in the s [#permalink]

### Show Tags

24 Jan 2011, 08:45
1
KUDOS
Expert's post
diebeatsthegmat wrote:
Bunuel wrote:
MichelleSavina wrote:
Q) What is the area of the innermost circle which is inscribed in the square?
(1) Area of the ABCD is square 49.
(2) Circumference of the outermost circle is 7Πcm.

What is the area of the innermost circle which is inscribed in the square?

Knowing the length of a side of a square is sufficient to calculate the radius of the inscribed or circumscribed circle (the length of a side defines the radius of the inscribed or circumscribed circle) and vise-versa: knowing the length of a radius is sufficient to to calculate the side of the inscribed or circumscribed square.

(1) Area of the ABCD is square 49 --> we can get the length of a side and then going step by step get the radius of the innermost circle to calculate the area. Sufficient.

(2) Circumference of the outermost circle is 7Πcm --> we can get the radius of this circle and then going step by step get the radius of the innermost circle to calculate the area. Sufficient.

For more check: math-circles-87957.html and math-triangles-87197.html

Please post PS questions in the PS subforum: gmat-problem-solving-ps-140/ and DS questions in the DS subforum: gmat-data-sufficiency-ds-141/

Topic moved to the DS subforum.

can you please describe more clearly? i dont understand...
it askes us to find what the area of the INNERMOST circle... we surely know the length of sides of ABCD and also know radius of circle but we dont know the area of the inner square so how could we find the radius of the innermost circle???
can you please explain me?

If you know the length of a side of a square then you can get the radius of inscribed circle: $$2R=S$$ --> $$R=\frac{S}{2}$$;

Next, if you know the radius of a circle you can get the length of a side of inscribed square: $$(2R)^2=s^2+s^2$$ --> $$s=R*\sqrt{2}$$;

So going step by step you can get the radius of the innermost circle to calculate the area of it.

Hope it's clear.
_________________
Math Expert
Joined: 02 Sep 2009
Posts: 36590
Followers: 7092

Kudos [?]: 93364 [0], given: 10557

Re: What is the area of the innermost circle which is inscribed [#permalink]

### Show Tags

12 Jul 2013, 01:59
Bumping for review and further discussion.
_________________
Intern
Joined: 21 Sep 2013
Posts: 30
Location: United States
Concentration: Finance, General Management
GMAT Date: 10-25-2013
GPA: 3
WE: Operations (Mutual Funds and Brokerage)
Followers: 0

Kudos [?]: 23 [0], given: 82

Re: Area of the innermost circle which is inscribed in the s [#permalink]

### Show Tags

05 Oct 2013, 08:09
Bunuel wrote:
MichelleSavina wrote:
Q) What is the area of the innermost circle which is inscribed in the square?
(1) Area of the ABCD is square 49.
(2) Circumference of the outermost circle is 7Πcm.

What is the area of the innermost circle which is inscribed in the square?

Knowing the length of a side of a square is sufficient to calculate the radius of the inscribed or circumscribed circle (the length of a side defines the radius of the inscribed or circumscribed circle) and vise-versa: knowing the length of a radius is sufficient to to calculate the side of the inscribed or circumscribed square.

(1) Area of the ABCD is square 49 --> we can get the length of a side and then going step by step get the radius of the innermost circle to calculate the area. Sufficient.

(2) Circumference of the outermost circle is 7Πcm --> we can get the radius of this circle and then going step by step get the radius of the innermost circle to calculate the area. Sufficient.

Also , as per gmat quant book by bunuel .... We can find out the area of circle inscribed in a square as per the points mentioned below.

• If a circle is circumscribed around a square, the area of the circle is (about 1.57) times the area of the square.
• If a circle is inscribed in the square, the area of the circle is (about 0.79) times the area of the square.
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 13489
Followers: 576

Kudos [?]: 163 [0], given: 0

Re: What is the area of the innermost circle which is inscribed [#permalink]

### Show Tags

16 Nov 2016, 11:42
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Re: What is the area of the innermost circle which is inscribed   [#permalink] 16 Nov 2016, 11:42
Similar topics Replies Last post
Similar
Topics:
3 If a circle is inscribed in an equilateral triangle, what is the area 4 29 Feb 2016, 09:42
1 A regular hexagon is inscribed in a circle. What is the area 2 02 Jul 2014, 00:03
5 Rectangle ABCD is inscribed in circle P. What is the area of 5 21 Oct 2013, 07:36
6 If a triangle inscribed in a circle has area 40, what is the 7 22 Mar 2011, 08:46
8 What is the area of the parallelogram inscribed in a circle? 19 31 May 2008, 04:28
Display posts from previous: Sort by

# What is the area of the innermost circle which is inscribed

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics

 Powered by phpBB © phpBB Group and phpBB SEO Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.