GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 20 Oct 2019, 17:15

GMAT Club Daily Prep

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

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

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

Author Message
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 58434
Two circles share a center at point C, as shown to the right. Segment  [#permalink]

Show Tags

20 Jun 2019, 23:57
00:00

Difficulty:

5% (low)

Question Stats:

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

HideShow timer Statistics

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 [ 16.97 KiB | Viewed 589 times ]

_________________
Director
Joined: 22 Nov 2018
Posts: 559
Location: India
GMAT 1: 640 Q45 V35
GMAT 2: 660 Q48 V33
Re: Two circles share a center at point C, as shown to the right. Segment  [#permalink]

Show Tags

21 Jun 2019, 00:06
Bunuel wrote:

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
_________________
Give +1 kudos if this answer helps..!!
Director
Joined: 20 Jul 2017
Posts: 928
Location: India
Concentration: Entrepreneurship, Marketing
WE: Education (Education)
Re: Two circles share a center at point C, as shown to the right. Segment  [#permalink]

Show Tags

21 Jun 2019, 06:24
1
Bunuel wrote:

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

Pls Hit Kudos if you like the solution
GMAT Club Legend
Joined: 18 Aug 2017
Posts: 5022
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: Two circles share a center at point C, as shown to the right. Segment  [#permalink]

Show Tags

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

Bunuel wrote:

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
Re: Two circles share a center at point C, as shown to the right. Segment   [#permalink] 21 Jun 2019, 10:32
Display posts from previous: Sort by