Last visit was: 12 Dec 2024, 09:36 It is currently 12 Dec 2024, 09:36
Home
GMAT
Messages
Tests
Schools
Reviews
Social
Chat
My Profile
Close
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
Your Progress

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
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel
Back to Forum
Create Topic
555-605 Level|   Geometry|      
User avatar
MichelleSavina
User avatar
Joined: 27 Sep 2010
Last visit: 07 Apr 2011
Posts: 23
Own Kudos:
245
Given Kudos: 3
Posts: 23
Kudos: 245
What is the area of the innermost circle which is inscribed 23 Jan 2011, 03:11
Kudos
Add Kudos
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

25% (medium)

Question Stats:

71% (01:16) correct 29% (01:26) wrong based on 201 sessions

History

Date
Time
Result
Not Attempted Yet
Attachment:
untitled3.JPG
untitled3.JPG [ 5 KiB | Viewed 8264 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.
ShowHide Answer
Official Answer
D
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 12 Dec 2024
Posts: 97,846
Own Kudos:
685,330
Given Kudos: 88,255
Products:
GMAT Club Tests Forum Quiz
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 97,846
Kudos: 685,330
What is the area of the innermost circle which is inscribed 23 Jan 2011, 03:39
Kudos
Add Kudos
Bookmarks
Bookmark this Post
MichelleSavina
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.

Answer: D.

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.
User avatar
Anurag@Gurome
User avatar
Joined: 13 Oct 2010
Last visit: 29 Nov 2011
Posts: 17
Own Kudos:
14
Location: Milpitas, CA
Posts: 17
Kudos: 14
What is the area of the innermost circle which is inscribed 23 Jan 2011, 03:46
Kudos
Add Kudos
Bookmarks
Bookmark this Post
MichelleSavina
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

Show Spoiler
The correct answer is D.
User avatar
MichelleSavina
User avatar
Joined: 27 Sep 2010
Last visit: 07 Apr 2011
Posts: 23
Own Kudos:
245
Given Kudos: 3
Posts: 23
Kudos: 245
What is the area of the innermost circle which is inscribed 23 Jan 2011, 07:49
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel

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.. :beat ...
User avatar
diebeatsthegmat
User avatar
Joined: 18 Oct 2010
Last visit: 08 Jan 2012
Posts: 45
Own Kudos:
25
Posts: 45
Kudos: 25
What is the area of the innermost circle which is inscribed 24 Jan 2011, 09:24
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
MichelleSavina
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.

Answer: D.

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?
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 12 Dec 2024
Posts: 97,846
Own Kudos:
685,330
 [1]
Given Kudos: 88,255
Products:
GMAT Club Tests Forum Quiz
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 97,846
Kudos: 685,330
 [1]
What is the area of the innermost circle which is inscribed 24 Jan 2011, 09:45
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
diebeatsthegmat
Bunuel
MichelleSavina
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.

Answer: D.

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.
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 12 Dec 2024
Posts: 97,846
Own Kudos:
685,330
Given Kudos: 88,255
Products:
GMAT Club Tests Forum Quiz
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 97,846
Kudos: 685,330
What is the area of the innermost circle which is inscribed 12 Jul 2013, 02:59
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bumping for review and further discussion.
User avatar
Yash12345
User avatar
Joined: 21 Sep 2013
Last visit: 09 Dec 2015
Posts: 25
Own Kudos:
127
Given Kudos: 82
Location: United States
Concentration: Finance, General Management
GMAT Date: 10-25-2013
GPA: 3
WE:Operations (Mutual Funds and Brokerage)
Posts: 25
Kudos: 127
What is the area of the innermost circle which is inscribed 05 Oct 2013, 09:09
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
MichelleSavina
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.

Answer: D.

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.
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 35,800
Own Kudos:
929
Posts: 35,800
Kudos: 929
What is the area of the innermost circle which is inscribed 16 Nov 2016, 12:42
Kudos
Add Kudos
Bookmarks
Bookmark this Post
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.
Moderator:
Bunuel
Math Expert
97846 posts