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

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Math Expert
Joined: 02 Sep 2009
Posts: 49231
The area of the circumscribed circle in the figure above is 32π. What  [#permalink]

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23 Aug 2018, 04:00
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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 [ 2.62 KiB | Viewed 175 times ]

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Status: Learning stage
Joined: 01 Oct 2017
Posts: 839
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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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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Regards,

PKN

Rise above the storm, you will find the sunshine

Math Expert
Joined: 02 Sep 2009
Posts: 49231
Re: The area of the circumscribed circle in the figure above is 32π. What  [#permalink]

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23 Aug 2018, 04:20
PKN wrote:
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.

______________
Done. Thank you.
_________________
Director
Status: Learning stage
Joined: 01 Oct 2017
Posts: 839
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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23 Aug 2018, 04:27
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

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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Regards,

PKN

Rise above the storm, you will find the sunshine

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