Find all School-related info fast with the new School-Specific MBA Forum
Learn more about the recent changes... close

It is currently 20 Jun 2013, 01:44
Customize  |  Hide

Search
Register
New posts
Unanswered

A circle is inscribed in equilateral triangle ABC so that

  Question banks Downloads My Bookmarks Reviews  
  Oldest Best Reply
Search for:
 
Print view
First unread post
Author Message
TAGS:
Director
Director
User avatar
Joined: 08 Jul 2004
Posts: 613
Followers: 1

Kudos [?]: 4 [0], given: 0

GMAT Tests User
A circle is inscribed in equilateral triangle ABC so that [#permalink] New post 29 Sep 2004, 04:49
00:00

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
26. A circle is inscribed in equilateral triangle ABC so that point D lies on the circle and on line segment AC and point E lies on the circle and on line segment AB. If line segment AB = 6, what is the area of the figure created by line segments AD, AE and minor arc DE?


OA 3(3)^1/2

Last edited by saurya_s on 29 Sep 2004, 06:39, edited 1 time in total.
Director
Director
User avatar
Joined: 16 Jun 2004
Posts: 929
Followers: 1

Kudos [?]: 4 [0], given: 0

GMAT Tests User
 [#permalink] New post 29 Sep 2004, 06:14
Height= AM = sqrt3/2 x side = 3sqrt3

radius= 1/3 * height = sqrt3

Area of shaded region = sqrt3/4 x (side)^2 - (pi)r^2

= 6.15

We want area of ADE = 6.15/3 = 2.05.
Attachments

Equi Triangle.JPG
Equi Triangle.JPG [ 7.15 KiB | Viewed 295 times ]

Director
Director
Joined: 20 Jul 2004
Posts: 601
Followers: 1

Kudos [?]: 4 [0], given: 0

GMAT Tests User
 [#permalink] New post 29 Sep 2004, 08:09
Yep, I learnt this once, but almost forgot. Thanks venksune for bringing this back.

for an inscribed triangle (circle inside triangle), r = h/3
for a circumscribed triangle (triangle inside circle), r = 2h/3

Ans should be 3*sqrt(3) - pi
  [#permalink] 29 Sep 2004, 08:09
    Similar topics Author Replies Last post
Similar
Topics:
 New posts A circle is inscribed in equilateral triangle ABC such that usman7 6 01 Oct 2006, 11:43
New posts Equilateral triangle ABC is inscribed in the circle. If the SimaQ 1 12 Nov 2006, 05:10
New posts An equilateral triangle ABC is inscribed inside a circle successstory 3 01 Feb 2007, 05:14
New posts 1 A circle is inscribed in equilateral triangle ABC such that vr4indian 5 27 Sep 2008, 17:36
New posts An equilateral triangle ABC is inscribed in the circle. If agdimple333 2 23 Apr 2011, 15:32
Display posts from previous: Sort by

A circle is inscribed in equilateral triangle ABC so that

  Question banks Downloads My Bookmarks Reviews  
Print view
First unread post

Moderators: VeritasPrepKarishma, Bunuel, IanStewart

Search for:


GMAT Club MBA Forum Home| About| Privacy Policy| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.

Main navigation

GMAT Resources

Partners

MBA Resources

www.gmac.com|www.mba.com