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

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The figure ABCD is inscribed in the circle. What is the [#permalink] New post 30 Jun 2004, 01:40
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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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 [#permalink] New post 30 Jun 2004, 03:53
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^2 = AD^2 / 2
AB= 18/Sqrt(2)
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 [#permalink] New post 30 Jun 2004, 05:50
(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).
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 [#permalink] New post 30 Jun 2004, 13:14
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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Ans [#permalink] New post 30 Jun 2004, 13:22
C indeed
I won't be alone! :-D
Ans   [#permalink] 30 Jun 2004, 13:22
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