Find all School-related info fast with the new School-Specific MBA Forum

It is currently 01 Sep 2014, 05:50

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

A triangle is inscribed in the semicircle. If the length of

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Manager
Manager
avatar
Joined: 06 Nov 2008
Posts: 54
Followers: 0

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

A triangle is inscribed in the semicircle. If the length of [#permalink] New post 09 Nov 2008, 17:37
A 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
B. 12
C. 10
D. 7
E. 5
Manager
Manager
avatar
Joined: 12 Oct 2008
Posts: 106
Followers: 1

Kudos [?]: 6 [0], given: 0

Re: semicircle [#permalink] New post 09 Nov 2008, 18:25
is there any kind of graph to go with it?
SVP
SVP
User avatar
Joined: 30 Apr 2008
Posts: 1893
Location: Oklahoma City
Schools: Hard Knocks
Followers: 29

Kudos [?]: 431 [0], given: 32

GMAT Tests User
Re: semicircle [#permalink] New post 09 Nov 2008, 18:38
I don't think this question can be answered without some diagram. Nothing in the questions states where the vertices of the triangle are located. We need to know visually the relationshipbetween Segment AB and Segment BC.
haichao wrote:
a 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
B. 12
C. 10
D. 7
E. 5

_________________

------------------------------------
J Allen Morris
**I'm pretty sure I'm right, but then again, I'm just a guy with his head up his a$$.

Get the best GMAT Prep Resources with GMAT Club Premium Membership

SVP
SVP
avatar
Joined: 17 Jun 2008
Posts: 1579
Followers: 12

Kudos [?]: 181 [0], given: 0

GMAT Tests User
Re: semicircle [#permalink] New post 10 Nov 2008, 02:27
I think, the question is complete. Since, the question asks for length of arc ABC, A, B and C must be on the semi circle.

Moreover, since, AB is 8 and BC is 6, in this case, AC has to be the diameter of the semi circle.
Manager
Manager
avatar
Joined: 30 Sep 2008
Posts: 113
Followers: 1

Kudos [?]: 9 [0], given: 0

Re: semicircle [#permalink] New post 10 Nov 2008, 02:45
C

ABC is inscribed in the semicircle => ABC is a right triangle

AC = sqrt(AB^2 + BC^2) = 10
or

AC = sqrt(AB^2 - BC^2) (no answer choice for this)
Manager
Manager
avatar
Joined: 14 Oct 2008
Posts: 160
Followers: 1

Kudos [?]: 26 [0], given: 0

Re: semicircle [#permalink] New post 10 Nov 2008, 02:56
scthakur is right, qs can be complete. But i was looking for a " approximate length of arc ABC " in the qs rather than "the length" since the exact number is missing from the answer choices.

Is the QA A ?
triangle ABC is right angled , since its incribed in a semicircle. Hence the third side AC is 10 and radius is 5. So half circumference is 5 * 3.14 which is slightly greater than 15. But since 15 is the highest choice in answers , it has to be A.
Manager
Manager
avatar
Joined: 08 Aug 2008
Posts: 234
Followers: 1

Kudos [?]: 16 [0], given: 0

GMAT Tests User
Re: semicircle [#permalink] New post 10 Nov 2008, 03:39
assuming that AC is diameter, so ac=10cm
radius =5 so length of arc=xr=3.14*5=15.7...A
Manager
Manager
avatar
Joined: 30 Sep 2008
Posts: 113
Followers: 1

Kudos [?]: 9 [0], given: 0

Re: semicircle [#permalink] New post 10 Nov 2008, 03:57
prasun84 wrote:
assuming that AC is diameter, so ac=10cm
radius =5 so length of arc=xr=3.14*5=15.7...A


so the formula for arcABC = xr??, i'm not sure what is ABC here
SVP
SVP
User avatar
Joined: 30 Apr 2008
Posts: 1893
Location: Oklahoma City
Schools: Hard Knocks
Followers: 29

Kudos [?]: 431 [0], given: 32

GMAT Tests User
Re: semicircle [#permalink] New post 10 Nov 2008, 06:04
Here is the problem I have with this question. A triangle inscribed in a semi-circle will be a right triangle. So we know that 6 & 8 are the bases, which means the 3rd side is 10, a.k.a. the diameter of the semicircle. The formula for finding the perimeter of a semi-circle is \frac{1}{2}*d*pi. The answer to this is 5pi, but that's not an option. 15 is close, but not exactly it either 5*pi(~3.14) = 15.7.

haichao wrote:
a 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
B. 12
C. 10
D. 7
E. 5

_________________

------------------------------------
J Allen Morris
**I'm pretty sure I'm right, but then again, I'm just a guy with his head up his a$$.

Get the best GMAT Prep Resources with GMAT Club Premium Membership

Re: semicircle   [#permalink] 10 Nov 2008, 06:04
    Similar topics Author Replies Last post
Similar
Topics:
4 Experts publish their posts in the topic A semicircle is inscribed in equilateral triangle ABC, as goodyear2013 1 29 May 2014, 13:51
Triangle inscribed in Circle Arc Length mkrump 4 27 May 2009, 09:05
Triangle inscribed in a semicircle Manbehindthecurtain 2 02 May 2008, 17:48
11 An equilateral triangle is inscribed in circle. The length chandra23 5 30 Jan 2008, 23:13
A triangle is inscribed in a semicircle, so that one of the sdanquah 1 15 Sep 2004, 08:18
Display posts from previous: Sort by

A triangle is inscribed in the semicircle. If the length of

  Question banks Downloads My Bookmarks Reviews Important topics  


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®.