GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 20 Oct 2019, 17:01

Close

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
Your Progress

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.

Close

Request Expert Reply

Confirm Cancel

A square is inscribed in a circle of area 18pi. Find a side of a squar

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58434
A square is inscribed in a circle of area 18pi. Find a side of a squar  [#permalink]

Show Tags

New post 18 Mar 2018, 23:45
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

69% (01:15) correct 31% (01:31) wrong based on 57 sessions

HideShow timer Statistics

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58434
Re: A square is inscribed in a circle of area 18pi. Find a side of a squar  [#permalink]

Show Tags

New post 18 Mar 2018, 23:58
Bunuel wrote:
A square is inscribed in a circle of area \(18\pi\). Find a side of a square.

A. 3
B. 6
C. \(3\sqrt{2}\)
D. \(3\sqrt{2}\)
E. Cannot be determined


23. Geometry




24. Coordinate Geometry




25. Triangles




26. Polygons




27. Circles




28. Rectangular Solids and Cylinders




29. Graphs and Illustrations




For other subjects:
ALL YOU NEED FOR QUANT ! ! !
Ultimate GMAT Quantitative Megathread
_________________
Senior PS Moderator
User avatar
D
Status: It always seems impossible until it's done.
Joined: 16 Sep 2016
Posts: 737
GMAT 1: 740 Q50 V40
GMAT 2: 770 Q51 V42
GMAT ToolKit User Reviews Badge
Re: A square is inscribed in a circle of area 18pi. Find a side of a squar  [#permalink]

Show Tags

New post 19 Mar 2018, 00:02
Bunuel wrote:
A square is inscribed in a circle of area \(18\pi\). Find a side of a square.

A. 3
B. 6
C. \(3\sqrt{2}\)
D. \(3\sqrt{2}\)
E. Cannot be determined


Area of circle = \(18\pi\).
so: \(\pi*R^2 = 18\pi\)
\(R^2 = 18\)
\(R = 3\sqrt{2}\)

This is the radius of the circle and also half the diagonal of the square inscribed in it.

Hence diagonal = \(6\sqrt{2}\)

Therefore - Side of square = 6

Option B.

Best,
Gladi
_________________
Regards,
Gladi



“Do. Or do not. There is no try.” - Yoda (The Empire Strikes Back)
Intern
Intern
User avatar
B
Status: Preparing for GMAT
Joined: 07 Nov 2016
Posts: 16
Location: India
Concentration: Technology, Economics
GPA: 3.1
WE: Analyst (Consulting)
Re: A square is inscribed in a circle of area 18pi. Find a side of a squar  [#permalink]

Show Tags

New post 19 Mar 2018, 14:07
Lets first calculate the radius of the circle
Given, area of circle = 18π
so: π∗R*R=18π∗R*R=18π
R*R=18,
R=3√2

Hence the diameter= 6√2
Side of a square inscribed in a circle is Diameter/√2

=> Side of square= 6√2/√2= 6

Thus answer is B
Intern
Intern
avatar
B
Joined: 24 Jan 2018
Posts: 14
GMAT ToolKit User
A square is inscribed in a circle of area 18pi. Find a side of a squar  [#permalink]

Show Tags

New post Updated on: 21 Mar 2018, 13:04
I found it easiest to draw a circle with an inscribed and then create a right triangle with the two legs being equal to the radius and the hypotenuse being one of the sides of the inscribed square. Then we can solve for the hypotenuse by
a^2+b^2=c^2
c^2=36
c = 6

Image

Originally posted by hawesg on 20 Mar 2018, 01:05.
Last edited by hawesg on 21 Mar 2018, 13:04, edited 2 times in total.
Target Test Prep Representative
User avatar
G
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2815
Re: A square is inscribed in a circle of area 18pi. Find a side of a squar  [#permalink]

Show Tags

New post 20 Mar 2018, 16:59
Bunuel wrote:
A square is inscribed in a circle of area \(18\pi\). Find a side of a square.

A. 3
B. 6
C. \(3\sqrt{2}\)
D. \(3\sqrt{2}\)
E. Cannot be determined


Since the square is inscribed in the circle, the diagonal of the square is equal to the diameter of the circle.

Let’s determine the diameter of the circle:

πr^2 = 18π

r^2 = 18

r = √9 x √2

r = 3√2, so diameter = diagonal = 6√2

Since diagonal of a square = side√2, the side of the square is 6.

Answer: B
_________________

Jeffrey Miller

Head of GMAT Instruction

Jeff@TargetTestPrep.com
TTP - Target Test Prep Logo
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

GMAT Club Bot
Re: A square is inscribed in a circle of area 18pi. Find a side of a squar   [#permalink] 20 Mar 2018, 16:59
Display posts from previous: Sort by

A square is inscribed in a circle of area 18pi. Find a side of a squar

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne