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# In the figure above, the area of the square with two sides tangent to

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Math Expert
Joined: 02 Sep 2009
Posts: 47109
In the figure above, the area of the square with two sides tangent to [#permalink]

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23 Nov 2017, 01:36
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Question Stats:

45% (01:26) correct 55% (01:17) wrong based on 11 sessions

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In the figure above, the area of the square with two sides tangent to the circle is 4a^2*π. What is the area of the circle?

(A) aπ^2
(B) a^2√2
(C) a^2*π^2
(D) 2a^2*π
(E) cannot be determined

Attachment:

2017-11-23_1216_001.png [ 2.68 KiB | Viewed 479 times ]

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Re: In the figure above, the area of the square with two sides tangent to [#permalink]

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23 Nov 2017, 01:52
Bunuel wrote:

In the figure above, the area of the square with two sides tangent to the circle is 4a^2*π. What is the area of the circle?

(A) aπ^2
(B) a^2√2
(C) a^2*π
(D) 2a^2*π
(E) cannot be determined

Attachment:
2017-11-23_1216_001.png

Area of square = 4a^2*π
Side of Square = Diameter of Circle = $$2a\sqrt{π}$$
Radius of Circle = $$a\sqrt{π}$$
Area of Circle = $$π^2a^2$$
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Re: In the figure above, the area of the square with two sides tangent to [#permalink]

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23 Nov 2017, 07:31
Bunuel wrote:

In the figure above, the area of the square with two sides tangent to the circle is 4a^2*π. What is the area of the circle?

(A) aπ^2
(B) a^2√2
(C) a^2*π
(D) 2a^2*π
(E) cannot be determined

Attachment:
2017-11-23_1216_001.png

Hi Bunuel,

Can you please check with the options. Getting the Answer as $$\pi^2$$ * $$a^2$$
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Math Expert
Joined: 02 Sep 2009
Posts: 47109
Re: In the figure above, the area of the square with two sides tangent to [#permalink]

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23 Nov 2017, 07:37
rahul16singh28 wrote:
Bunuel wrote:

In the figure above, the area of the square with two sides tangent to the circle is 4a^2*π. What is the area of the circle?

(A) aπ^2
(B) a^2√2
(C) a^2*π
(D) 2a^2*π
(E) cannot be determined

Attachment:
2017-11-23_1216_001.png

Hi Bunuel,

Can you please check with the options. Getting the Answer as $$\pi^2$$ * $$a^2$$

____________
Edited. Thank you.
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Re: In the figure above, the area of the square with two sides tangent to   [#permalink] 23 Nov 2017, 07:37
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