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.

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

In the figure above, points A, B, C, 0, and E lie on a line [#permalink]
14 Dec 2012, 02:31

6

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

95% (hard)

Question Stats:

52% (02:27) correct
48% (01:23) wrong based on 443 sessions

Attachment:

Two circles.png [ 5.47 KiB | Viewed 4862 times ]

In the figure above, points A, B, C, D, and E lie on a line. A is on both circles, B is the center of the smaller circle, C is the center of the larger circle, 0 is on the smaller circle, and E is on the larger circle. What is the area of the region inside the larger circle and outside the smaller circle?

Re: In the figure above, points A, B, C, 0, and E lie on a line [#permalink]
14 Dec 2012, 02:38

4

This post received KUDOS

Expert's post

In the figure above, points A, B, C, D, and E lie on a line. A is on both circles, B is the center of the smaller circle, C is the center of the larger circle, 0 is on the smaller circle, and E is on the larger circle. What is the area of the region inside the larger circle and outside the smaller circle?

We need to find the value of \pi{R^2}-\pi{r^2}, where R is the radius of the larger circle and r is the radius of the smaller circle. So, bascally we need to find R and r.

(1) AB = 3 and BC = 2 --> AB=r=3 and AB+BC=AC=5=R. Sufficient.

(2) CD = 1 and DE = 4 --> CD+DE=CE=R=5. Next, AD+DE=AE=DIAMETER=2R=10, and since AD=2r, then 2r+DE=10 --> 2r+4=10 --> r=3. Sufficient.

Re: In the figure above, points A, B, C, 0, and E lie on a line [#permalink]
30 Apr 2014, 23:11

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: In the figure above, points A, B, C, 0, and E lie on a line [#permalink]
14 May 2014, 17:29

Kudos for the solution. I tried to solve the problem twice, but could not get it. I am hoping to start getting solutions to such problems with more practice

Re: In the figure above, points A, B, C, 0, and E lie on a line [#permalink]
31 May 2014, 02:28

1

This post received KUDOS

Hi Bunuel, There is a typo in the question stem. What you refer to as point O in question is shown by D in the diagram. FYKI. Thanks! _________________

Please consider giving 'kudos' if you like my post and want to thank

Re: In the figure above, points A, B, C, 0, and E lie on a line [#permalink]
13 Sep 2014, 11:35

In this question Why are we considering C towards left of D its not stated in the question that its in left of D its shown but not stated. C is given that its lie on the same line and its center of larger circle, But what if the C is towards right of D. Then we can not solve this question using only statement 2.

Should the diagram be considered as concrete not flexible?

Re: In the figure above, points A, B, C, 0, and E lie on a line [#permalink]
14 Sep 2014, 16:22

1

This post received KUDOS

Expert's post

Parth Monga wrote:

In this question Why are we considering C towards left of D its not stated in the question that its in left of D its shown but not stated. C is given that its lie on the same line and its center of larger circle, But what if the C is towards right of D. Then we can not solve this question using only statement 2.

Should the diagram be considered as concrete not flexible?

OG13, page 272: A figure accompanying a data sufficiency problem will conform to the information given in the question but will not necessarily conform to the additional information given in statements (1) and (2). Lines shown as straight can be assumed to be straight and lines that appear jagged can also be assumed to be straight. You may assume that the positions of points, angles, regions, and so forth exist in the order shown and that angle measures are greater than zero degrees. All figures lie in a plane unless otherwise indicated.

OG13, page 150: Figures: A figure accompanying a problem solving question is intended to provide information useful in solving the problem. Figures are drawn as accurately as possible. Exceptions will be clearly noted. Lines shown as straight are straight, and lines that appear jagged are also straight. The positions of points, angles, regions, etc., exist in the order shown, and angle measures are greater than zero. All figures lie in a plane unless otherwise indicated.

Re: In the figure above, points A, B, C, 0, and E lie on a line [#permalink]
18 Sep 2014, 01:29

Bunuel wrote:

Parth Monga wrote:

In this question Why are we considering C towards left of D its not stated in the question that its in left of D its shown but not stated. C is given that its lie on the same line and its center of larger circle, But what if the C is towards right of D. Then we can not solve this question using only statement 2.

Should the diagram be considered as concrete not flexible?

OG13, page 272: A figure accompanying a data sufficiency problem will conform to the information given in the question but will not necessarily conform to the additional information given in statements (1) and (2). Lines shown as straight can be assumed to be straight and lines that appear jagged can also be assumed to be straight. You may assume that the positions of points, angles, regions, and so forth exist in the order shown and that angle measures are greater than zero degrees. All figures lie in a plane unless otherwise indicated.

OG13, page 150: Figures: A figure accompanying a problem solving question is intended to provide information useful in solving the problem. Figures are drawn as accurately as possible. Exceptions will be clearly noted. Lines shown as straight are straight, and lines that appear jagged are also straight. The positions of points, angles, regions, etc., exist in the order shown, and angle measures are greater than zero. All figures lie in a plane unless otherwise indicated.

Hope it helps.

This a lot Bunuel that solves my concern with this question. Thanks a lot for your help. P.S. the content provided in your signature is quite good and helpful. Really appreciate your work and effort.

Re: In the figure above, points A, B, C, 0, and E lie on a line [#permalink]
18 Sep 2014, 13:11

1

This post received KUDOS

From the figure we know that: B is the center of smaller circle C is the center of larger circle We have to find out area of region i.e area obtained when area of smaller circle removed from area of larger circle.

Statement 1

AB=3 and BC= 2

from this statement we know radius of smaller circle i.e 3(AB) and radius of larger circle as well 3+2=5 (AB+BC) using radius of both the circle we can find the area of each circle and hence the required area. Sufficient

Statement 2

CD=1 and DE=4

from this statement we know that radius of larger circle is 1+4=5 (CD+DE) now for the smaller circle,we know that AE=10 and we know DE=4. therefore diameter of smaller circle is 10(AE)-4(DE)=6 (AC) therefore radius of smaller circle = 3 (AC/2). using radius of both the circle we can find the area of each circle and hence the required area. Sufficient

Re: In the figure above, points A, B, C, 0, and E lie on a line [#permalink]
27 Sep 2014, 00:08

Walkabout wrote:

Attachment:

Two circles.png

In the figure above, points A, B, C, D, and E lie on a line. A is on both circles, B is the center of the smaller circle, C is the center of the larger circle, 0 is on the smaller circle, and E is on the larger circle. What is the area of the region inside the larger circle and outside the smaller circle?

(1) AB = 3 and BC = 2 (2) CD = 1 and DE = 4

A - clearly sufficient B- cd+de= radius so smaller circle can also be found if you use it in opposite direcetion - sufficient OA:D _________________

IF IT IS TO BE , IT IS UP TO ME

gmatclubot

Re: In the figure above, points A, B, C, 0, and E lie on a line
[#permalink]
27 Sep 2014, 00:08