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#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here. # In this diagram, the circle is inscribed in the square.  Question banks Downloads My Bookmarks Reviews Important topics
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Founder  Joined: 18 Apr 2015
Posts: 7428
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Kudos [?]: 1461 , given: 6631

In this diagram, the circle is inscribed in the square. [#permalink]
Expert's post 00:00

Question Stats: 72% (00:59) correct 27% (00:54) wrong based on 29 sessions
In this diagram, the circle is inscribed in the square.

Attachment: GRE exam - In this diagram, the circle is inscribed in the square. .jpg [ 8.91 KiB | Viewed 2039 times ]

 Quantity A Quantity B Length of diagonal AC $$\frac{5r}{2}$$

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

_________________ Director  Joined: 07 Jan 2018
Posts: 659
Followers: 8

Kudos [?]: 621  , given: 88

Re: In this diagram, the circle is inscribed in the square. [#permalink]
1
KUDOS
2r = diameter of the circle.

Diameter of the circle = side of the square

since the adjacent sides of the squares are at 90 degrees, the diagonal = $$2r\sqrt{2}$$
This is because a 90-45-45 triangle will be formed between 2 sides of the square and the diagonal

now simplify

option A is:

$$2r\sqrt{2}$$

option B is:
$$\frac{5r}{2}$$

cancel r from both sides, then multiplying both sides by 2 we get,

option A = $$4\sqrt{2}$$
option B = 5
_________________

This is my response to the question and may be incorrect. Feel free to rectify any mistakes

Director Joined: 09 Nov 2018
Posts: 509
Followers: 0

Kudos [?]: 31 , given: 1

Re: In this diagram, the circle is inscribed in the square. [#permalink]
amorphous wrote:
2r = diameter of the circle.

Diameter of the circle = side of the square

since the adjacent sides of the squares are at 90 degrees, the diagonal = $$2r\sqrt{2}$$
This is because a 90-45-45 triangle will be formed between 2 sides of the square and the diagonal

now simplify

option A is:

$$2r\sqrt{2}$$

option B is:
$$\frac{5r}{2}$$

cancel r from both sides, then multiplying both sides by 2 we get,

option A = $$4\sqrt{2}$$
option B = 5

If it does not mention in the question how do we deduce that r is the radius or side or diagonal. Re: In this diagram, the circle is inscribed in the square.   [#permalink] 11 Jan 2019, 17:15
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# In this diagram, the circle is inscribed in the square.  Question banks Downloads My Bookmarks Reviews Important topics Powered by phpBB © phpBB Group Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.