Last visit was: 25 Nov 2024, 12:56 It is currently 25 Nov 2024, 12:56
Decision Tracker
My Rewards
New comers' posts
New posts
Unanswered

Close

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

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GRE score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Go to My Error Log Learn more
Close

Request Expert Reply

Confirm Cancel
PREVIOUS TOPIC
NEXT TOPIC

Given two intersecting circles..

Tags :
Find Similar Topics  About  Add a Tag

Show Tags
Hide Tags

avatar
Sonalika42
Manager
Manager
Joined: 12 Jan 2016
Posts: 142
Own Kudos [?]: 187 [6]
Given Kudos: 0
Send PM
Given two intersecting circles.. [#permalink] New post   Updated on: 20 Jan 2019, 11:50
1
5
Bookmarks
00:00

Question Stats:

65% (02:16) correct 34% (03:12) wrong based on 29 sessions

Hide Show timer Statistics

Given two intersecting circles, one with radius 15 and another with radius 25. If the distance between the two intersecting points is 20, then find the distance between the centers of the two circles?

Show: :: OA
34.09

Originally posted by Sonalika42 on 28 Aug 2016, 04:55.
Last edited by Carcass on 20 Jan 2019, 11:50, edited 1 time in total.
Edited by Carcass
Most Helpful Expert Reply
User avatar
sandy
Retired Moderator
Joined: 07 Jun 2014
Posts: 4814
Own Kudos [?]: 11198 [5]
Given Kudos: 0
GRE 1: Q167 V156
WE:Business Development (Energy and Utilities)
Send PM
Re: Given two intersecting circles.. [#permalink] New post   01 Oct 2018, 13:22
5
Expert Reply
In this case let the circles intersect at B and F respectively, as shown in figure below:

Attachment:
Inkedintersecting.gif
Inkedintersecting.gif [ 17.93 KiB | Viewed 6708 times ]


Now line AC is a perpedicular bisector of BF at point D and AB=15 and BC=25. Hence to find the distance we need to calculate AD and DC.

Now triangle ABD is right triangle AD=\(\sqrt{AB^2-BD^2}=\sqrt{15^2-10^2}=11.18\)

Now triangle CBD is right triangle CD=\(\sqrt{BC^2-BD^2}=\sqrt{25^2-10^2}=22.91\).

Hence total distance AC = 11.18+22.91=34.09.


The portion marked in red are properties of a circle.
General Discussion
avatar
shivankkhanna
Intern
Intern
Joined: 07 Sep 2018
Posts: 29
Own Kudos [?]: 4 [0]
Given Kudos: 0
Send PM
Re: Given two intersecting circles.. [#permalink] New post   29 Sep 2018, 23:32
what is the answer??
avatar
indiragre18
Intern
Intern
Joined: 27 Oct 2018
Posts: 49
Own Kudos [?]: 37 [0]
Given Kudos: 0
Send PM
Re: Given two intersecting circles.. [#permalink] New post   31 Oct 2018, 05:53
The answer is 20. The distance between intersection points is more than a circle's radius, hence one of the circle is pretty smaller than the other.
avatar
indiragre18
Intern
Intern
Joined: 27 Oct 2018
Posts: 49
Own Kudos [?]: 37 [0]
Given Kudos: 0
Send PM
Re: Given two intersecting circles.. [#permalink] New post   02 Nov 2018, 09:14
One circle has to be larger than the other one for the distance to be greater than one of the radii
avatar
Incognito
Intern
Intern
Joined: 23 Sep 2018
Posts: 7
Own Kudos [?]: 0 [0]
Given Kudos: 0
Send PM
Re: Given two intersecting circles.. [#permalink] New post   03 Dec 2018, 09:11
Sandy, how are we supposed to approximate square roots?
avatar
QuantumWonder
Manager
Manager
Joined: 02 Dec 2018
Posts: 74
Own Kudos [?]: 31 [0]
Given Kudos: 0
Send PM
Re: Given two intersecting circles.. [#permalink] New post   17 Dec 2018, 08:15
sandy wrote:
In this case let the circles intersect at B and F respectively, as shown in figure below:

Attachment:
Inkedintersecting.gif


Now line AC is a perpedicular bisector of BF at point D and AB=15 and BC=25. Hence to find the distance we need to calculate AD and DC.

Now triangle ABD is right triangle AD=\(\sqrt{AB^2-BD^2}=\sqrt{15^2-10^2}=11.18\)

Now triangle CBD is right triangle CD=\(\sqrt{BC^2-BD^2}=\sqrt{25^2-10^2}=22.91\).

Hence total distance AC = 11.18+22.91=34.09.


The portion marked in red are properties of a circle.


I can't tell where you got the 10 from, it shouldn't be as simple as just subtracting 25 from 15 that doesn't make sense.
avatar
AE
Director
Director
Joined: 09 Nov 2018
Posts: 505
Own Kudos [?]: 133 [0]
Given Kudos: 0
Send PM
Re: Given two intersecting circles.. [#permalink] New post   20 Jan 2019, 07:07
QuantumWonder wrote:
sandy wrote:
In this case let the circles intersect at B and F respectively, as shown in figure below:

Attachment:
Inkedintersecting.gif


Now line AC is a perpedicular bisector of BF at point D and AB=15 and BC=25. Hence to find the distance we need to calculate AD and DC.

Now triangle ABD is right triangle AD=\(\sqrt{AB^2-BD^2}=\sqrt{15^2-10^2}=11.18\)

Now triangle CBD is right triangle CD=\(\sqrt{BC^2-BD^2}=\sqrt{25^2-10^2}=22.91\).

Hence total distance AC = 11.18+22.91=34.09.


The portion marked in red are properties of a circle.


I can't tell where you got the 10 from, it shouldn't be as simple as just subtracting 25 from 15 that doesn't make sense.

It is in the question,
Given two intersecting circles, one with radius 15 and another with radius 25. If the distance between the two intersecting points is 20, then find the distance between the centers of the two circles?

Then perpendicular bisector properties of a circle.
User avatar
D
KarunMendiratta
Retired Moderator
Joined: 16 Apr 2020
Status:Founder & Quant Trainer
Affiliations: Prepster Education
Posts: 1546
Own Kudos [?]: 3224 [1]
Given Kudos: 172
Location: India
WE:Education (Education)
Send PM
Given two intersecting circles.. [#permalink] New post   25 Feb 2021, 08:21
1
Incognito wrote:
Sandy, how are we supposed to approximate square roots?


You are not required to, you will have an onscreen calculator in the exam!

Howeover, you can remember these 5 values in particular, that will help you:
\(\sqrt{2} = 1.41, \sqrt{3} = 1.73, \sqrt{5} = 2.23, \sqrt{7} = 2.64, \sqrt{10} = 3.16\)
User avatar
bumpbot
GRE Prep Club Legend
GRE Prep Club Legend
Joined: 07 Jan 2021
Posts: 5054
Own Kudos [?]: 75 [0]
Given Kudos: 0
Send PM
Re: Given two intersecting circles.. [#permalink] New post   07 Sep 2024, 08:13
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Prep Club for GRE Bot
gmatclubot
Re: Given two intersecting circles.. [#permalink]
07 Sep 2024, 08:13
Moderators:
adewale223
GRE Instructor
84 posts
bronaugust
GRE Forum Moderator
37 posts
BrushMyQuant
Moderator
1111 posts
VibhuAnurag
GRE Instructor
234 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Main navigation

Partners

GRE Resources

www.ets.org/gre | About | Terms and Conditions and Privacy Policy | Prep Club for GRE Rules | Contact