GRE Prep 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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
A, B, C are the centers of the three circles, each of which touches th
[#permalink]
15 Nov 2023, 01:00
15 Nov 2023, 01:00
Expert Reply
00:00
Question Stats:
28% (01:47) correct
71% (02:11) wrong based on 7 sessions
Hide Show timer Statistics
Attachment:
GRE A, B, C are the centers of the three circles,.jpg [ 15.73 KiB | Viewed 602 times ]
A, B, C are the centers of the three circles, each of which touches the other. The radius of circle with center C is 10 units.
Quantity A |
Quantity B |
Perimeter of triangle ABC |
20 |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Part of the project: The Butler-GRE Daily New Quant and Verbal Questions to Practice (2023) - Gain 20 Kudos & Get FREE Access to GRE Prep Club TESTS
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Free Materials for the GRE General Exam - Where to get it!!
GRE Geometry Formulas
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Free Materials for the GRE General Exam - Where to get it!!
GRE Geometry Formulas
GRE - Math Book
Re: A, B, C are the centers of the three circles, each of which touches th
[#permalink]
17 Nov 2023, 18:36
17 Nov 2023, 18:36
2
A, B, C are the centers of the three circles, each of which touches the other. The radius of circle with center C is 10 units.
Extend the line CA to make the radius of the circle C as CD , and extend the line CB to make another radius of the circle C as CE , Please see image attached.
So we know the line CD is the radius of the circle C i.e. CD = 10 , thus if we consider the value of DA =r1 (which is same as radius of the Circle A) , then CA=10-r1
Similarly we know the line CE is the radius of the circle C i.e. CE = 10, thus if we consider the value of BE = r2 (which is same as the radius of the circle B), then CB = 10-r2
now we know the point A and B are the centers of circle A and B , thus the line segment AB = r1 + r2
Thus perimeter of triangle ABC = CA+AB+CB = 10-r1 + r1+r2 + 10-r2 = 20
answer C .
PS. Sorry for my bad drawing
Extend the line CA to make the radius of the circle C as CD , and extend the line CB to make another radius of the circle C as CE , Please see image attached.
So we know the line CD is the radius of the circle C i.e. CD = 10 , thus if we consider the value of DA =r1 (which is same as radius of the Circle A) , then CA=10-r1
Similarly we know the line CE is the radius of the circle C i.e. CE = 10, thus if we consider the value of BE = r2 (which is same as the radius of the circle B), then CB = 10-r2
now we know the point A and B are the centers of circle A and B , thus the line segment AB = r1 + r2
Thus perimeter of triangle ABC = CA+AB+CB = 10-r1 + r1+r2 + 10-r2 = 20
answer C .
PS. Sorry for my bad drawing
Attachments
GRE A, B, C are the centers of the three circles,.jpg [ 11.01 KiB | Viewed 519 times ]
gmatclubot
Re: A, B, C are the centers of the three circles, each of which touches th [#permalink]
17 Nov 2023, 18:36
Moderators:
