It is currently 19 Nov 2017, 05:51

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.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

A circle is inscribed in equilateral triangle ABC so that

  post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
Director
Director
User avatar
Joined: 08 Jul 2004
Posts: 595

Kudos [?]: 281 [0], given: 0

A circle is inscribed in equilateral triangle ABC so that [#permalink]

Show Tags

New post 29 Sep 2004, 04:49
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions

HideShow timer Statistics

This topic is locked. If you want to discuss this question please re-post it in the respective forum.

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.

Kudos [?]: 281 [0], given: 0

Director
Director
User avatar
Joined: 16 Jun 2004
Posts: 891

Kudos [?]: 68 [0], given: 0

 [#permalink]

Show Tags

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 768 times ]

Kudos [?]: 68 [0], given: 0

Director
Director
avatar
Joined: 20 Jul 2004
Posts: 590

Kudos [?]: 162 [0], given: 0

 [#permalink]

Show Tags

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

Kudos [?]: 162 [0], given: 0

  [#permalink] 29 Sep 2004, 08:09
Display posts from previous: Sort by

A circle is inscribed in equilateral triangle ABC so that

  post reply Question banks Downloads My Bookmarks Reviews Important topics  


cron

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

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

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®.