 It is currently 28 May 2020, 06:13 ### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

#### 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
Author Message
TAGS: Founder  Joined: 18 Apr 2015
Posts: 11156
Followers: 237

Kudos [?]: 2785  , given: 10592

In this diagram, the circle is inscribed in the square. [#permalink]
1
KUDOS
Expert's post 00:00

Question Stats: 64% (00:56) correct 35% (00:55) wrong based on 53 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 3862 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

_________________

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. Director  Joined: 07 Jan 2018
Posts: 694
Followers: 11

Kudos [?]: 741  , given: 88

Re: In this diagram, the circle is inscribed in the square. [#permalink]
2
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
Need Practice? 20 Free GRE Quant Tests available for free with 20 Kudos Director Joined: 09 Nov 2018
Posts: 506
Followers: 0

Kudos [?]: 54  , given: 1

Re: In this diagram, the circle is inscribed in the square. [#permalink]
1
KUDOS
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
Display posts from previous: Sort by

# 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®.