It is currently 26 May 2019, 19:33

### 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

# In this diagram, the circle is inscribed in the square.

Author Message
TAGS:
Founder
Joined: 18 Apr 2015
Posts: 6647
Followers: 107

Kudos [?]: 1275 [0], given: 6017

In this diagram, the circle is inscribed in the square. [#permalink]  30 Nov 2018, 17:17
Expert's post
00:00

Question Stats:

78% (01:10) correct 21% (01:13) wrong based on 19 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 1530 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: 642
Followers: 7

Kudos [?]: 593 [1] , given: 88

Re: In this diagram, the circle is inscribed in the square. [#permalink]  01 Dec 2018, 10:29
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 [?]: 23 [0], given: 1

Re: In this diagram, the circle is inscribed in the square. [#permalink]  11 Jan 2019, 17:15
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