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

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Math Expert
Joined: 02 Sep 2009
Posts: 51071
What is the radius of the circle above with center O?  [#permalink]

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23 Aug 2018, 02:33
00:00

Difficulty:

5% (low)

Question Stats:

97% (00:30) correct 3% (00:48) wrong based on 31 sessions

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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 [ 2.02 KiB | Viewed 301 times ]

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Joined: 29 Jul 2018
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Concentration: Finance, Statistics
Re: What is the radius of the circle above with center O?  [#permalink]

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23 Aug 2018, 02:39
1
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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23 Aug 2018, 02:39
Bunuel wrote:

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

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
Sufficient.

St2:- The diagonal of the inscribed square is $$\sqrt{8}$$ units long
Here, diameter of circle=diagonal of square
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, 02:39
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