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The area of the circumscribed circle in the figure above is 32π. What

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The area of the circumscribed circle in the figure above is 32π. What  [#permalink]

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New post 23 Aug 2018, 04:00
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A
B
C
D
E

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VP
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Status: Learning stage
Joined: 01 Oct 2017
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WE: Supply Chain Management (Energy and Utilities)
Re: The area of the circumscribed circle in the figure above is 32π. What  [#permalink]

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New post 23 Aug 2018, 04:13
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Bunuel wrote:
The area of the circumscribed circle in the figure above is 32π. What is the area of the square?


A. \(\frac{8\sqrt{2}}{\pi}\)

B. \(\frac{32}{\pi}\)

C. \(\frac{64}{\pi}\)

D. 32

E. 64


Hi Bunuel,
Kindly affix diagram.
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PKN

Rise above the storm, you will find the sunshine
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Re: The area of the circumscribed circle in the figure above is 32π. What  [#permalink]

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New post 23 Aug 2018, 04:20
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Re: The area of the circumscribed circle in the figure above is 32π. What  [#permalink]

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New post 23 Aug 2018, 04:27
Bunuel wrote:
Image
The area of the circumscribed circle in the figure above is 32π. What is the area of the square?


A. \(\frac{8\sqrt{2}}{\pi}\)

B. \(\frac{32}{\pi}\)

C. \(\frac{64}{\pi}\)

D. 32

E. 64


Attachment:
image009 (1).jpg


Given area of circle=32π
Or, πr^2=32π
Or, \(r=4\sqrt{2}\)

Diagonal of square=diameter of circle=2r=8\sqrt{2}
Or, \(\sqrt{2}\)* side length of square=\(8\sqrt{2}\)
Or, side length of square=8

So, area of square=\(8^2=64\) sq unit

Ans. (E)
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PKN

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Re: The area of the circumscribed circle in the figure above is 32π. What   [#permalink] 23 Aug 2018, 04:27
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