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# In the figure above, the circle inscribed in PQRS has radius 3. What

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Math Expert
Joined: 02 Sep 2009
Posts: 50078
In the figure above, the circle inscribed in PQRS has radius 3. What  [#permalink]

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20 Nov 2017, 23:13
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Difficulty:

15% (low)

Question Stats:

86% (00:29) correct 14% (00:28) wrong based on 52 sessions

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In the figure above, the circle inscribed in PQRS has radius 3. What is the perimeter of square PQRS?

(A) 9
(B) 24
(C) 36
(D) 54
(E) 81

Attachment:

2017-11-21_1003.png [ 5.55 KiB | Viewed 639 times ]

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Re: In the figure above, the circle inscribed in PQRS has radius 3. What  [#permalink]

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21 Nov 2017, 00:14
r=1/2 of PQRS side
PQRS side= 2r
Perimeter of PQRS = (2r)*4=2*3*4=24
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Re: In the figure above, the circle inscribed in PQRS has radius 3. What  [#permalink]

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21 Nov 2017, 08:37
Radius of the circle = 2*Sides of the square = 6

Hence, perimeter of the square is 6*4 = 24 , answer will be (B)
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Re: In the figure above, the circle inscribed in PQRS has radius 3. What  [#permalink]

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27 Nov 2017, 11:51
1
Bunuel wrote:

In the figure above, the circle inscribed in PQRS has radius 3. What is the perimeter of square PQRS?

(A) 9
(B) 24
(C) 36
(D) 54
(E) 81

Attachment:
2017-11-21_1003.png

Since the circle is inscribed in the square, a side of the square = the diameter of circle. Since the radius is 3, the diameter and a side of the square are both 6. Thus, the perimeter of the square is 4 x 6 = 24.

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Re: In the figure above, the circle inscribed in PQRS has radius 3. What &nbs [#permalink] 27 Nov 2017, 11:51
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