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# Updated 3.17. Rectangle ABCD is inscribed in a circle. What

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Manager
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Updated 3.17. Rectangle ABCD is inscribed in a circle. What [#permalink]

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03 Oct 2006, 05:30
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Updated

3.17. Rectangle ABCD is inscribed in a circle. What is the radius of the circle?
(1) The length of the rectangle is root 3 and the width of the rectangle is 1.
(2) The length of are AB is 1/3 of the circumference of the circle.
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fig 1.doc [19.5 KiB]

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ARISE AWAKE AND REST NOT UNTIL THE GOAL IS ACHIEVED

Last edited by Raghavender on 07 Oct 2006, 19:11, edited 1 time in total.

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03 Oct 2006, 06:39
The options seems to be incomplete. Can you pls re-post/edit it.

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05 Oct 2006, 21:16
Raghavender wrote:
jainvik7 wrote:
The options seems to be incomplete. Can you pls re-post/edit it.

It is a DS problem..

(1) The length of the rectangle is and the width of the rectangle is 1.

What is the length of the rectangle?

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Senior Manager
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05 Oct 2006, 21:44
St 1 indictaes rectangle is actually a square as length=width.
Thus circle with square incribed in it the diagonal of square is diameter for the circle. Thus st1 is suff.
St 2 is insuff

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05 Oct 2006, 21:49
The options are certainly incomplete.

Statement 1: The length of the rectangle is WHAT?and the width of the rectangle is 1.

Statement 2: The length of are AB is WHAT? of the circumference of the circle.

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05 Oct 2006, 22:08
You are right anand the option seem incomplete.

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07 Oct 2006, 19:12
I Sincerely apologize, I dunno how the mistake slipped thru my notice...

I've updated the q,

Sorry guyz
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ARISE AWAKE AND REST NOT UNTIL THE GOAL IS ACHIEVED

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Re: rectangle inscribed a circle DS [#permalink]

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07 Oct 2006, 19:41
Raghavender wrote:
Updated

3.17. Rectangle ABCD is inscribed in a circle. What is the radius of the circle?
(1) The length of the rectangle is root 3 and the width of the rectangle is 1.
(2) The length of are AB is 1/3 of the circumference of the circle.

A. 1. with length and width we can find diagonal = diameter of the cricle

2. insuff.

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Manager
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Re: rectangle inscribed a circle DS [#permalink]

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10 Oct 2006, 21:31
Nsentra wrote:
Raghavender wrote:
Updated

3.17. Rectangle ABCD is inscribed in a circle. What is the radius of the circle?
(1) The length of the rectangle is root 3 and the width of the rectangle is 1.
(2) The length of are AB is 1/3 of the circumference of the circle.

A. 1. with length and width we can find diagonal = diameter of the cricle

2. insuff.

Does the diagonal of the rectangle inscribed in a square always have to be equal to the diameter of the circle..??
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ARISE AWAKE AND REST NOT UNTIL THE GOAL IS ACHIEVED

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Re: rectangle inscribed a circle DS [#permalink]

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10 Oct 2006, 22:52
Raghavender wrote:
Nsentra wrote:
Raghavender wrote:
Updated

3.17. Rectangle ABCD is inscribed in a circle. What is the radius of the circle?
(1) The length of the rectangle is root 3 and the width of the rectangle is 1.
(2) The length of are AB is 1/3 of the circumference of the circle.

A. 1. with length and width we can find diagonal = diameter of the cricle

2. insuff.

Does the diagonal of the rectangle inscribed in a square always have to be equal to the diameter of the circle..??

Yes, always...................
Because the diagonal and the two sides of a triangle form a right angled triangle and the angle between the two sides is clearly 90degrees.
Since the angle in a semicircle is 90, the diagonal must obviously be the diameter
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11 Oct 2006, 19:03
a

Diagonal of the rectangle = diameter of the circle

Statement 1: SUFF

Statement 2: Without any measurements, INSUFF

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12 Oct 2006, 20:33
Thanx Cicerone...now i c the logic....
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12 Oct 2006, 23:06
Raghavender wrote:
Thanx Cicerone...now i c the logic....

Ok raghavender............
Keep positng ur doubts.................
Doubts like these will definitely help a lot of aspirants here on the exam day
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12 Oct 2006, 23:06
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