GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 21 Jan 2019, 14:41

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 in January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
  • GMAT Club Tests are Free & Open for Martin Luther King Jr.'s Birthday!

     January 21, 2019

     January 21, 2019

     10:00 PM PST

     11:00 PM PST

    Mark your calendars - All GMAT Club Tests are free and open January 21st for celebrate Martin Luther King Jr.'s Birthday.
  • The winners of the GMAT game show

     January 22, 2019

     January 22, 2019

     10:00 PM PST

     11:00 PM PST

    In case you didn’t notice, we recently held the 1st ever GMAT game show and it was awesome! See who won a full GMAT course, and register to the next one.

In the figure shown, the triangle is inscribed in the

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
Director
Director
avatar
Joined: 17 Oct 2005
Posts: 877
In the figure shown, the triangle is inscribed in the  [#permalink]

Show Tags

New post 25 Jan 2006, 09:29
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

80% (00:35) correct 20% (00:53) wrong based on 142 sessions

HideShow timer Statistics

In the figure shown, the triangle is inscribed in the semicircle. If the length of line segment AB is 8 and the length of line segment BC is 6, what is the length of arc ABC?
A. 15 TT
B. 12 TT
C. 10 TT
D. 7 TT
E. 5 TT

--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.


If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

Attachments

Untitled-1 copy.jpg
Untitled-1 copy.jpg [ 14.22 KiB | Viewed 16260 times ]

Director
Director
avatar
Joined: 01 Feb 2003
Posts: 787
Location: Hyderabad
  [#permalink]

Show Tags

New post 25 Jan 2006, 09:49
as the sides of the triangle are 8 & 6, it is a right angled triangle. Therefore, the diameter of the semi circle(also the third side) is 10.

Answer would be (pie)*R (as it is a semicircle, half the perimeter will be the length of the semi-circle) = 5*pie (E)

Regards
Vithal
Director
Director
User avatar
Joined: 20 Sep 2005
Posts: 998
  [#permalink]

Show Tags

New post 25 Jan 2006, 11:37
E.

Another approach:

The third side ( diameter ) should be between (8-6) and (8+6).

Thus 2 < d < 14.

From the answer choices, 2TTr/2 ( half of the cirumference of circle ) gives
r = 15,12,10,7 and 5 and the corresponding diameter as 30,24,20,14,10.

Only d = 10, satisfies , 2 < d < 14. Thus, the answer is E.
Director
Director
avatar
Joined: 17 Oct 2005
Posts: 877
  [#permalink]

Show Tags

New post 26 Jan 2006, 05:48
oa is 5TT

thanks guys, i made a silly error
CEO
CEO
avatar
Joined: 20 Nov 2005
Posts: 2774
Schools: Completed at SAID BUSINESS SCHOOL, OXFORD - Class of 2008
  [#permalink]

Show Tags

New post 26 Jan 2006, 12:52
cj,

there is a rule:

If a triangle is inscribed in a semi-circle, it will always be a right angle triangle with right angle at the corner which touches the arc portion of semi-circle (Like angle ABC here).
_________________

SAID BUSINESS SCHOOL, OXFORD - MBA CLASS OF 2008

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jul 2004
Posts: 4803
Location: Singapore
  [#permalink]

Show Tags

New post 26 Jan 2006, 23:45
The angle ABC is a right angle (triangle inscribed in semicircle). So lenght of AC = sqrt(64+36) = 10.

Length of the arc ABC = (2* pi * r)/2 = 5pi
Manager
Manager
avatar
Joined: 19 Oct 2010
Posts: 172
Location: India
GMAT 1: 560 Q36 V31
GPA: 3
GMAT ToolKit User
Re: triangle  [#permalink]

Show Tags

New post 11 Sep 2011, 02:48
Quote:
cj,

there is a rule:

If a triangle is inscribed in a semi-circle, it will always be a right angle triangle with right angle at the corner which touches the arc portion of semi-circle (Like angle ABC here).


Thank you for this. E is the answer.
_________________

petrifiedbutstanding

Senior Manager
Senior Manager
avatar
Joined: 28 Jul 2011
Posts: 345
Location: United States
Concentration: International Business, General Management
GPA: 3.86
WE: Accounting (Commercial Banking)
Re: triangle  [#permalink]

Show Tags

New post 11 Sep 2011, 03:48
1
Its E i.e 5*pi

Solution

Angle in a semi circle is a right angle and ABC forms a right angle triangle with right angled at B.

so AB=8 AND BC=6 so AC=10 as 8-6-10 forms a right angled triangle with Hypotenuse AC

so Now we got the diameter =10 and radius =5

Now length of the Segment ABC=circumference/2 i.e 2*pi*r/2 as it is a semicircle
so Now length of ABC=Pi*r and from above we know radius=5 so
Lenght of segment ABC= 5*pi
_________________

+1 Kudos If found helpful..

Director
Director
avatar
Joined: 01 Feb 2011
Posts: 658
Re: triangle  [#permalink]

Show Tags

New post 11 Sep 2011, 08:36
1
In a circle, whenever one of the sides of the triangle is diameter, that forms the hypotenuse of the triangle.

AB = 8, BC=6 => AC = 10

Length of arc ABC = (central angle/360)*(2*pi*r)

= (180/360)*(2*pi*r)

= pi*r

AC = 2r = 10 => r = 5

=> Length of arc ABC = 5pi

Answer is E.
Manager
Manager
avatar
Status: Prepping for the last time....
Joined: 28 May 2010
Posts: 119
Location: Australia
Concentration: Technology, Strategy
GMAT 1: 630 Q47 V29
GPA: 3.2
Re: triangle  [#permalink]

Show Tags

New post 12 Sep 2011, 04:07
5*pi is the answer..
_________________

Two great challenges: 1. Guts to Fail and 2. Fear to Succeed

Director
Director
User avatar
G
Joined: 23 Feb 2015
Posts: 611
GMAT 1: 720 Q49 V40
GMAT ToolKit User Premium Member
Re: In the figure shown, the triangle is inscribed in the  [#permalink]

Show Tags

New post 17 Nov 2016, 08:18
joemama142000 wrote:
In the figure shown, the triangle is inscribed in the semicircle. If the length of line segment AB is 8 and the length of line segment BC is 6, what is the length of arc ABC?
A. 15 TT
B. 12 TT
C. 10 TT
D. 7 TT
E. 5 TT

AC must be between 2 and 14. Because, AB+BC=8+6=14, and AB-BC=8-6=2. So, 2πr
If r=highest 7, then length of ABC=7π
But it is actually less than 7π. So, E is correct answer.

--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.


If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

_________________

“The heights by great men reached and kept were not attained in sudden flight but, they while their companions slept, they were toiling upwards in the night.”
― Henry Wadsworth Longfellow

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 9462
Premium Member
Re: In the figure shown, the triangle is inscribed in the  [#permalink]

Show Tags

New post 18 Jul 2018, 01:59
Hello from the GMAT Club BumpBot!

Thanks to another GMAT 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.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

GMAT Club Bot
Re: In the figure shown, the triangle is inscribed in the &nbs [#permalink] 18 Jul 2018, 01:59
Display posts from previous: Sort by

In the figure shown, the triangle is inscribed in the

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| 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®.