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

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

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New post 20 Nov 2017, 22:13
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A
B
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E

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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

[Reveal] Spoiler:
Attachment:
2017-11-21_1003.png
2017-11-21_1003.png [ 5.55 KiB | Viewed 329 times ]
[Reveal] Spoiler: OA

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

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New post 20 Nov 2017, 23:14
r=1/2 of PQRS side
PQRS side= 2r
Perimeter of PQRS = (2r)*4=2*3*4=24
Answer B

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

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New post 21 Nov 2017, 07:37
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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New post 27 Nov 2017, 10:51
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Expert's post
Bunuel wrote:
Image
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

[Reveal] Spoiler:
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.

Answer: B
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Kudos [?]: 982 [1], given: 5

Re: In the figure above, the circle inscribed in PQRS has radius 3. What   [#permalink] 27 Nov 2017, 10:51
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In the figure above, the circle inscribed in PQRS has radius 3. What

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