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# In the figure above, points A, B, C, 0, and E lie on a line

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Director
Joined: 10 Mar 2013
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Re: In the figure above, points A, B, C, 0, and E lie on a line [#permalink]

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14 Jul 2015, 05:57
We need to find AREA (BIG)-(SMALL) --> P*R^2 - P*R^2
1) AB=3, BC=2, R(big)=3+2=5, R(small)=3 Sufficient
2) CD=1, DE=4, Diameter of the big circle = CD+DE=5, Diameter of the small circle = AC+CD=5+1=6, Radius =3 Sufficient
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In the figure above, points A, B, C, 0, and E lie on a line [#permalink]

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18 Jul 2015, 10:36
In this question what we need to decide is that area of both the circles can be calculated or not
Area of circle = π r^2
from (1):radius of inner circle = AB=3(given);Radius of outer circle = AC=AB+BC=3+2=5 Both area can be calculated. Hence Sufficient
from(2): radius of outer circle => AC=CE=CD+DE=1+4=5=>AD=AC+CD=5+1=6
radius of inner circle=>AB=BD(since b is the center and D is a point on inner circle)=AD/2=6/2=3. Both area can be calculated. Hence Sufficient

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

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21 Jul 2016, 03:06
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Re: In the figure above, points A, B, C, 0, and E lie on a line [#permalink]

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06 Aug 2017, 23:25
Hello from the GMAT Club BumpBot!

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Re: In the figure above, points A, B, C, 0, and E lie on a line   [#permalink] 06 Aug 2017, 23:25

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# In the figure above, points A, B, C, 0, and E lie on a line

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