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# The figure ABCD is inscribed in the circle. What is the

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Manager
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The figure ABCD is inscribed in the circle. What is the [#permalink]  30 Jun 2004, 00:40
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The figure ABCD is inscribed in the circle. What is the length of AB?

(1) ABCD is a square
(2) The radius of the circle is 9 inches.
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Senior Manager
Joined: 19 May 2004
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C.

1) Insufficient
2) Insuffuicient. Many different rectangles could be drawn with a diagonal of 18.

1+2, Sufficient. only one square with a diagonal of 18 could be drawn.
AB= 18/Sqrt(2)
Senior Manager
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(C) it is.
1) square ok! but no measurements
2) radius, but we don't have the angle CAB, say angle AOB (O is the center)
But combining two we know angle CAB is 90, hence AB = 18/sqrt(2).
Manager
Joined: 08 Jun 2004
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I would go with C as well...

A= not sufficient

B = not too...
combining both we have the diameter as 18 which is the diagnol of the given sqr...

hope that helps!

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Intern
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Ans [#permalink]  30 Jun 2004, 12:22
C indeed
I won't be alone!
Ans   [#permalink] 30 Jun 2004, 12:22
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