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What is the radius of the circle above with center O?

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What is the radius of the circle above with center O?  [#permalink]

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New post 23 Aug 2018, 03:33
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What is the radius of the circle above with center O?

(1) The inscribed square has an area of 8.
(2) The diagonal of the inscribed square is \(\sqrt{8}\) units long.


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Re: What is the radius of the circle above with center O?  [#permalink]

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New post 23 Aug 2018, 03:39
Diagonal of square will be the diameter
1st statement area of square is 8 let x be side so x^2 =8 also diagonal of square is root 2 side so statement 1 sufficent
2nd statement is sufficient too

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What is the radius of the circle above with center O?  [#permalink]

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New post 23 Aug 2018, 03:39
Bunuel wrote:
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What is the radius of the circle above with center O?

(1) The inscribed square has an area of 8.
(2) The diagonal of the inscribed square is \(\sqrt{8}\) units long.


Attachment:
image004 (1).gif


Question stem: Radius,r=?

St1:- The inscribed square has an area of 8.
We can determine the length of side of the square. Hence, we can determine the diagonal of square(using diagonal=\(\sqrt{2}\)* length of side)
Here, diameter of circle=diagonal of square
Hence radius can be determined.
Sufficient.

St2:- The diagonal of the inscribed square is \(\sqrt{8}\) units long
Here, diameter of circle=diagonal of square
hence, radius can be determined.
Sufficient.
Actual computation is not required.

Ans. (D)
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What is the radius of the circle above with center O? &nbs [#permalink] 23 Aug 2018, 03:39
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