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Founder  Joined: 18 Apr 2015
Posts: 8795
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Kudos [?]: 2052 , given: 8116

Expert's post 00:00

Question Stats: 94% (00:37) correct 5% (01:01) wrong based on 38 sessions

A circle with radius $$\frac{4}{\sqrt{\pi}}$$ has the same area as a particular square.

 Quantity A Quantity B $$9\pi$$ The area of the square if each side were increased by 1

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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Intern Joined: 23 Sep 2017
Posts: 18
Followers: 0

Kudos [?]: 7 , given: 6

Please explain how choice a is correct? n is not known in this question. Founder  Joined: 18 Apr 2015
Posts: 8795
Followers: 176

Kudos [?]: 2052  , given: 8116

1
KUDOS
Expert's post
The circle with radius $$\frac{4}{\sqrt{n}}$$ is equal to the area of a square.

Use the circle area formula

$$A = \pi ( \frac{4}{\sqrt{n}}) ^2$$

A = 16

Hence the area of the square is 16 and a single side is 4.

Now QB says if the side is increased by one. Therefore, one side is 5. From this the area is 25.

But QA is $$9 \pi$$ that is more than 27 ( 9 * 3.14).

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Need Practice? 20 Free GRE Quant Tests available for free with 20 Kudos
GRE Prep Club Members of the Month: Each member of the month will get three months free access of GRE Prep Club tests. Intern Joined: 23 Sep 2017
Posts: 18
Followers: 0

Kudos [?]: 7  , given: 6

1
KUDOS
Carcass wrote:
The circle with radius $$\frac{4}{\sqrt{n}}$$ is equal to the area of a square.

Use the circle area formula

$$A = \pi ( \frac{4}{\sqrt{n}}) ^2$$

A = 16

Hence the area of the square is 16 and a single side is 4.

Now QB says if the side is increased by one. Therefore, one side is 5. From this the area is 25.

But QA is $$9 \pi$$ that is more than 27 ( 9 * 3.14).

Hi Carcass,

Thanks.

Denominator is \sqrt{n}, not pi. Please change the question. Director Joined: 03 Sep 2017
Posts: 519
Followers: 2

Kudos [?]: 386  , given: 66

2
KUDOS
AR15J wrote:
Carcass wrote:
The circle with radius $$\frac{4}{\sqrt{n}}$$ is equal to the area of a square.

Use the circle area formula

$$A = \pi ( \frac{4}{\sqrt{n}}) ^2$$

A = 16

Hence the area of the square is 16 and a single side is 4.

Now QB says if the side is increased by one. Therefore, one side is 5. From this the area is 25.

But QA is $$9 \pi$$ that is more than 27 ( 9 * 3.14).

Hi Carcass,

Thanks.

Denominator is \sqrt{n}, not pi. Please change the question.

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