Last visit was: 23 Apr 2026, 23:27 It is currently 23 Apr 2026, 23:27
Home
Messages
Tests
Schools
Events
Close
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
Your Progress

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
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
User avatar
yessuresh
User avatar
Joined: 25 Apr 2006
Last visit: 01 Jan 2008
Posts: 35
Own Kudos:
5
Posts: 35
Kudos: 5
What is the diameter of the circle inscribed in an isoceles 27 May 2006, 08:52
Kudos
Add Kudos
Bookmarks
Bookmark this Post
What is the diameter of the circle inscribed in an isoceles trapezoid with parallel sides of length 45cm and 125cm?



Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
Still interested in this question? Check out the "Best Topics" block below for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
User avatar
yessuresh
User avatar
Joined: 25 Apr 2006
Last visit: 01 Jan 2008
Posts: 35
Own Kudos:
5
Posts: 35
Kudos: 5
What is the diameter of the circle inscribed in an isoceles 27 May 2006, 10:02
Kudos
Add Kudos
Bookmarks
Bookmark this Post
How did u arrive at the answer? Can you please explain.
User avatar
shobhitb
User avatar
Joined: 09 May 2006
Last visit: 17 Feb 2007
Posts: 58
Own Kudos:
75
Location: Bangalore, India
Posts: 58
Kudos: 75
What is the diameter of the circle inscribed in an isoceles 27 May 2006, 10:15
Kudos
Add Kudos
Bookmarks
Bookmark this Post
yessuresh
How did u arrive at the answer? Can you please explain.
Show more


Please see attachment

P.S. : Centre of inscribed circle lies on intersection of all angle bisectors of the trapzoid.
Attachments

solution.doc [19 KiB]
Downloaded 105 times

User avatar
guptaraja
User avatar
Joined: 05 Apr 2006
Last visit: 30 Oct 2006
Posts: 16
Own Kudos:
6
Posts: 16
Kudos: 6
What is the diameter of the circle inscribed in an isoceles Updated on: 28 May 2006, 09:49
Originally posted by guptaraja on 27 May 2006, 11:50.
Last edited by guptaraja on 28 May 2006, 09:49, edited 1 time in total.
Kudos
Add Kudos
Bookmarks
Bookmark this Post
got it.
was under the impression that inscribed circle is a circle inside another geometric figure but
definition of inscribed circle is : a circle which is tangent to, or touches, each side of the polygon.
User avatar
mahesh004
User avatar
Joined: 10 Oct 2005
Last visit: 13 Mar 2007
Posts: 271
Own Kudos:
609
Location: US
Posts: 271
Kudos: 609
What is the diameter of the circle inscribed in an isoceles 27 May 2006, 12:06
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Could you please provide height for the trapezoid
User avatar
yessuresh
User avatar
Joined: 25 Apr 2006
Last visit: 01 Jan 2008
Posts: 35
Own Kudos:
5
Posts: 35
Kudos: 5
What is the diameter of the circle inscribed in an isoceles 27 May 2006, 14:15
Kudos
Add Kudos
Bookmarks
Bookmark this Post
shobhitb,

I am getting close to your explanation but couldnt understand how u came up with the ratio of the non-parallel side as 45/2 and 125/2.

Mahesh,

The height of the trapezoid is the same as the diameter of the circle and thats what is asked. Refer to the document posted by shobhitb.
User avatar
giddi77
User avatar
Joined: 21 Sep 2003
Last visit: 02 Jan 2018
Posts: 526
Own Kudos:
257
Location: USA
Posts: 526
Kudos: 257
What is the diameter of the circle inscribed in an isoceles 27 May 2006, 20:26
Kudos
Add Kudos
Bookmarks
Bookmark this Post
shobhitb
yessuresh
How did u arrive at the answer? Can you please explain.

Please see attachment

P.S. : Centre of inscribed circle lies on intersection of all angle bisectors of the trapzoid.
Show more


Very good solution! :good
User avatar
shobhitb
User avatar
Joined: 09 May 2006
Last visit: 17 Feb 2007
Posts: 58
Own Kudos:
75
 [1]
Location: Bangalore, India
Posts: 58
Kudos: 75
 [1]
What is the diameter of the circle inscribed in an isoceles 27 May 2006, 21:27
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
yessuresh
shobhitb,

I am getting close to your explanation but couldnt understand how u came up with the ratio of the non-parallel side as 45/2 and 125/2.

Mahesh,

The height of the trapezoid is the same as the diameter of the circle and thats what is asked. Refer to the document posted by shobhitb.
Show more


Have tried to explain through a diagram..
Attachments

solution.doc [24 KiB]
Downloaded 93 times

User avatar
yessuresh
User avatar
Joined: 25 Apr 2006
Last visit: 01 Jan 2008
Posts: 35
Own Kudos:
5
Posts: 35
Kudos: 5
What is the diameter of the circle inscribed in an isoceles 28 May 2006, 05:27
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Gotcha! Thanks for the explanation.



Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!