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In the figure above, if the radii of the two smaller circles is each

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Joined: 02 Sep 2009
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Kudos [?]: 135955 [0], given: 12717

In the figure above, if the radii of the two smaller circles is each [#permalink]

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New post 14 Nov 2017, 00:08
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In the figure above, if the radii of the two smaller circles is each equal to 1/3 of the radius of the larger circle, then the ratio (area of the shaded region)/(area of the larger circle) is equal to

(A) 8/9
(B) 7/9
(C) 2/3
(D) 4/9
(E) 1/3

[Reveal] Spoiler:
Attachment:
2017-11-14_1156_001.png
2017-11-14_1156_001.png [ 6.74 KiB | Viewed 150 times ]
[Reveal] Spoiler: OA

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Kudos [?]: 135955 [0], given: 12717

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Kudos [?]: 2409 [0], given: 51

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Re: In the figure above, if the radii of the two smaller circles is each [#permalink]

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New post 14 Nov 2017, 01:09
Bunuel wrote:
Image
In the figure above, if the radii of the two smaller circles is each equal to 1/3 of the radius of the larger circle, then the ratio (area of the shaded region)/(area of the larger circle) is equal to

(A) 8/9
(B) 7/9
(C) 2/3
(D) 4/9
(E) 1/3

[Reveal] Spoiler:
Attachment:
2017-11-14_1156_001.png


Question: (area of the shaded region)/(area of the larger circle) = ?

Let, Radius of bigger circle =3
i.e. Radius of each smaller circle = 1


Area of Shaded Region = Area of Bigger circle - Area of two smaller circles = π(3)^2 - 2*π(1)^2 = 9π-2π = 7π
Area of Larger Circle = π(3)^2 = 9π

(area of the shaded region)/(area of the larger circle) = 7π/9π = 7/9

Answer: Option B
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Kudos [?]: 2409 [0], given: 51

Re: In the figure above, if the radii of the two smaller circles is each   [#permalink] 14 Nov 2017, 01:09
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In the figure above, if the radii of the two smaller circles is each

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