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Two circles share a center at point C, as shown to the right. Segment

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Two circles share a center at point C, as shown to the right. Segment  [#permalink]

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New post 20 Jun 2019, 23:57
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A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

88% (00:48) correct 12% (01:21) wrong based on 50 sessions

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Two circles share a center at point C, as shown to the right. Segment AC is broken up into two shorter segments, AB and BC, with dimensions shown. What is the ratio of the area of the large circle to the area of the small circle ?

A. 25/4
B. 5/2
C. 3/2
D. 2/5
E. 4/25


Attachment:
circle areas.png
circle areas.png [ 16.97 KiB | Viewed 589 times ]

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Re: Two circles share a center at point C, as shown to the right. Segment  [#permalink]

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New post 21 Jun 2019, 00:06
Bunuel wrote:
Image
Two circles share a center at point C, as shown to the right. Segment AC is broken up into two shorter segments, AB and BC, with dimensions shown. What is the ratio of the area of the large circle to the area of the small circle ?

A. 25/4
B. 5/2
C. 3/2
D. 2/5
E. 4/25


Attachment:
circle areas.png


Square of R of larger/Square of r of smaller = 25/4 IMO A
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Re: Two circles share a center at point C, as shown to the right. Segment  [#permalink]

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New post 21 Jun 2019, 06:24
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Bunuel wrote:
Image
Two circles share a center at point C, as shown to the right. Segment AC is broken up into two shorter segments, AB and BC, with dimensions shown. What is the ratio of the area of the large circle to the area of the small circle ?

A. 25/4
B. 5/2
C. 3/2
D. 2/5
E. 4/25


Attachment:
circle areas.png


Radius of larger circle = AC = 5
Area of larger circle = π*\(5^2\) = 25π

Radius of small circle = BC = 2
Area of larger circle = π*\(2^2\) = 4π

ratio of the area of the large circle to the area of the small circle = 25π/4π = 25/4

IMO Option A

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Re: Two circles share a center at point C, as shown to the right. Segment  [#permalink]

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New post 21 Jun 2019, 10:32
larger area = pi * 25
small area = pi * 4
ratio 25/4
IMO A

Bunuel wrote:
Image
Two circles share a center at point C, as shown to the right. Segment AC is broken up into two shorter segments, AB and BC, with dimensions shown. What is the ratio of the area of the large circle to the area of the small circle ?

A. 25/4
B. 5/2
C. 3/2
D. 2/5
E. 4/25


Attachment:
circle areas.png
GMAT Club Bot
Re: Two circles share a center at point C, as shown to the right. Segment   [#permalink] 21 Jun 2019, 10:32
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Two circles share a center at point C, as shown to the right. Segment

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