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# In the figure to the right, O is both the center of the circle with ra

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Senior RC Moderator
Joined: 02 Nov 2016
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In the figure to the right, O is both the center of the circle with ra  [#permalink]

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22 May 2017, 12:14
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Difficulty:

5% (low)

Question Stats:

100% (00:52) correct 0% (00:00) wrong based on 31 sessions

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In the figure BELOW, O is both the center of the circle with radius 2 and a vertex of the square OPRS. What is the length of diagonal PS?

(A) 1/2
(B) $$\sqrt{2}$$/2
(C) 4
(D) 2
(E) 2 $$\sqrt{5}$$

Source: Nova GMAT
Difficulty Level: 500

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Location: India
Concentration: Finance, Marketing
Re: In the figure to the right, O is both the center of the circle with ra  [#permalink]

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23 May 2017, 23:58
Its a square.So diagonals are of equal length.

SP = RO
But RO is the radius of circle

Hence SP = 2
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Senior Manager
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Re: In the figure to the right, O is both the center of the circle with ra  [#permalink]

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24 May 2017, 19:06
1
OR=PS (Diagonals of square are equal in length)
Therefore, Length of diagonal PS= 2

Kudos please if you like my explanation!
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Re: In the figure to the right, O is both the center of the circle with ra  [#permalink]

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24 May 2017, 22:10
In the figure BELOW, O is both the center of the circle with radius 2 and a vertex of the square OPRS. What is the length of diagonal PS?

(A) 1/2
(B) $$\sqrt{2}$$/2
(C) 4
(D) 2
(E) 2 $$\sqrt{5}$$

Nova GMAT

Radius is 2 in the above figure.
Connect O to R. OR is radius of the circle. OR = 2.
OR is also diagonal of square OPRS.
PS is equal to OR.
Hence length of Diagonal PS = 2
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Joined: 18 Dec 2018
Posts: 46
Re: In the figure to the right, O is both the center of the circle with ra  [#permalink]

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18 Dec 2018, 23:16
From the figure, we can see that OR is the radius of circle and also the diagonal of square OPRS.
Since the radius of circle is given 2, the length of OR is 2.
We know that both the diagonals of square should be of same length.
Hence, PS = OR = 2.
Re: In the figure to the right, O is both the center of the circle with ra   [#permalink] 18 Dec 2018, 23:16
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