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In the figure, points A, B, C, D, and E lie on a line. A is

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Intern
Joined: 08 Nov 2008
Posts: 38
In the figure, points A, B, C, D, and E lie on a line. A is [#permalink]

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11 Nov 2008, 17:50
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

In the figure, 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, D 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. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.
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11 Nov 2008, 18:45
D.

Since all the points lie on one line, we can calculate radii of both circles, which is necessary to find (area of larger circle - area of smaller circle)
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12 Nov 2008, 00:12
I can't see the figure.
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12 Nov 2008, 00:18
scthakur wrote:
I can't see the figure.

I can't either, I drew it based on the description
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12 Nov 2008, 11:50
gorden wrote:
In the figure, 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, D 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

The questions seems intresting. Can you post the picture/graph?
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12 Nov 2008, 19:32
Attachment:

circle.JPG [ 9.39 KiB | Viewed 1202 times ]

I believe the figure should look like this. (Excuse my drawing skills though)

It is possible that the smaller circle is outside the larger circle but then the question wouldnt be asking

>What is the area of the region inside the larger circle and outside the >smaller circle?
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13 Nov 2008, 04:01
Thanks alpha_plus_gama for the picture.
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13 Nov 2008, 08:29
alpha_plus_gamma wrote:
Attachment:
circle.JPG

I believe the figure should look like this. (Excuse my drawing skills though)

It is possible that the smaller circle is outside the larger circle but then the question wouldnt be asking

>What is the area of the region inside the larger circle and outside the >smaller circle?

D. If your picture is the same as the original one, then either statement sufficiently provides the redius for each circle.

What we need is redus of the circles.
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13 Nov 2008, 09:41
How would you find out the radius of smaller circle from just stm 2 itself
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13 Nov 2008, 12:04
HG wrote:
How would you find out the radius of smaller circle from just stm 2 itself

Now, AD = CE - CD.
Re: circle --27   [#permalink] 13 Nov 2008, 12:04
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In the figure, points A, B, C, D, and E lie on a line. A is

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