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

 It is currently 03 Jul 2015, 07:45

### 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

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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# Can a circle be drawn, s that its CIRCUMFERENCE includes all

Author Message
TAGS:
Director
Joined: 03 Jul 2003
Posts: 654
Followers: 2

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

Can a circle be drawn, s that its CIRCUMFERENCE includes all [#permalink]  17 Feb 2004, 05:19
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
Can a circle be drawn, s that its CIRCUMFERENCE
includes all four vertices of quadrilateral ?

1) All four sides of Quadrilateral are equal in
length.

2. Each of the interior angles of Quadrilateral
measures 90 degres.
SVP
Joined: 30 Oct 2003
Posts: 1794
Location: NewJersey USA
Followers: 5

Kudos [?]: 43 [0], given: 0

I dont understand this question at all.

A quadrilaterral has total angles of 360 and can be enclosed in a circle.
I believe D should be the answer.
Senior Manager
Joined: 23 Aug 2003
Posts: 461
Location: In the middle of nowhere
Followers: 1

Kudos [?]: 12 [0], given: 0

Its C....its necessary to know the angle to be able to draw a circle around a quadrilateral.The sides of a quadrilateral may be equal but if the angles of the sides are obtuse or acute we can't draw a circle.

Vivek.
_________________

"Start By Doing What Is Necessary ,Then What Is Possible & Suddenly You Will Realise That You Are Doing The Impossible"

SVP
Joined: 30 Oct 2003
Posts: 1794
Location: NewJersey USA
Followers: 5

Kudos [?]: 43 [0], given: 0

well I understand the question now. All the vertices of Quadrilateral should lie on the circumference.

I am also modifying my post. An acute rohmbus will not fit in a circle such that all vertices lie on the circumference. Looks like B is the answer But I have a following doubt.

If you make a rectangle very thin then the circle has to have an infinite radius. Limit of width of rectangle -> 0 R -> infinity
Whereas if you make all sides equal and all the angles = 90 degrees then definitely you can draw a circle around it.

I am leaning towards C

Last edited by anandnk on 17 Feb 2004, 08:56, edited 1 time in total.
Manager
Joined: 11 Oct 2003
Posts: 102
Location: USA
Followers: 1

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

Can it not B [#permalink]  17 Feb 2004, 08:42
You can always draw a circle that circumscribes a rectangle. Can't you?

I go with B
Senior Manager
Joined: 11 Nov 2003
Posts: 355
Location: Illinois
Followers: 1

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

I will go with B as well. Draw any quadrilateral with all the angle = 90. You will always be able to draw a circle through all the vertices.
Similar topics Replies Last post
Similar
Topics:
3 In the diagram above, what is the circumference of the circle? 3 23 Feb 2015, 02:31
23 A circle is drawn on a coordinate plane. If a line is drawn 16 15 Oct 2013, 21:17
1 What is the circumference of the circle above? (1) The 2 24 Jun 2009, 02:05
What is the circumference of the circle above? (1) The 5 03 May 2008, 12:00
3 What is the circumference of the circle above? (1) The 18 21 Dec 2005, 23:54
Display posts from previous: Sort by