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

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

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New post 23 Nov 2017, 00:36
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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

[Reveal] Spoiler:
Attachment:
2017-11-23_1216_001.png
2017-11-23_1216_001.png [ 2.68 KiB | Viewed 288 times ]
[Reveal] Spoiler: OA

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

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New post 23 Nov 2017, 00:52
Bunuel wrote:
Image
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

[Reveal] Spoiler:
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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Kudos [?]: 17 [0], given: 343

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

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New post 23 Nov 2017, 06:31
Bunuel wrote:
Image
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

[Reveal] Spoiler:
Attachment:
2017-11-23_1216_001.png


Hi Bunuel,

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

Kudos [?]: 17 [0], given: 343

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

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New post 23 Nov 2017, 06:37
rahul16singh28 wrote:
Bunuel wrote:
Image
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

[Reveal] Spoiler:
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.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Kudos [?]: 135673 [0], given: 12706

Re: In the figure above, the area of the square with two sides tangent to   [#permalink] 23 Nov 2017, 06:37
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In the figure above, the area of the square with two sides tangent to

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