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

Oldest

Best Reply

Author

Message

TAGS:

Director

Joined: 03 Jul 2003

Posts: 716

Followers: 2

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

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

17 Feb 2004, 06:19

00:00

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: 1963

Location: NewJersey USA

Followers: 3

Kudos [?]: 25 [0], given: 0

[#permalink]

17 Feb 2004, 09:19

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.

Director

Joined: 23 Aug 2003

Posts: 512

Location: In the middle of nowhere

Followers: 1

Kudos [?]: 7 [0], given: 0

[#permalink]

17 Feb 2004, 09:23

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: 1963

Location: NewJersey USA

Followers: 3

Kudos [?]: 25 [0], given: 0

[#permalink]

17 Feb 2004, 09:26

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, 09:56, edited 1 time in total.

Manager

Joined: 11 Oct 2003

Posts: 106

Location: USA

Followers: 1

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

Can it not B [#permalink]

17 Feb 2004, 09:42

You can always draw a circle that circumscribes a rectangle. Can't you?

I go with B

Senior Manager

Joined: 11 Nov 2003

Posts: 361

Location: Illinois

Followers: 1

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

[#permalink]

17 Feb 2004, 09:48

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.

[#permalink] 17 Feb 2004, 09:48

		Similar topics	Author	Replies	Last post
Similar Topics:		In the diagram below, there is a circumference with its	stolyar	9	16 Oct 2003, 03:45
		What is the circumference of the circle above? (1) The	Rupstar	3	26 Apr 2005, 10:37
	3	What is the circumference of the circle above? (1) The	JAI HIND	18	22 Dec 2005, 00:54
		What is the circumference of the circle above? (1) The	el1981	5	03 May 2008, 13:00
		How many circles can be drawn on the line segment	Chembeti	1	26 Feb 2012, 00:05

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

Main navigation

GMAT Resources

Partners

MBA Resources

GMAT ® is a registered trademark of the Graduate Management Admission Council ® (GMAC ®). GMAT Club's website has not been reviewed or endorsed by GMAC.

GMAT Courses

Admissions Consulting

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

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

Main navigation

GMAT Resources

Partners

MBA Resources