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

It is currently 19 Oct 2019, 16:11

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

An equilateral triangle is inscribed in a circle. How many times great

  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: 58445
An equilateral triangle is inscribed in a circle. How many times great  [#permalink]

Show Tags

New post 31 Oct 2018, 02:00
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

45% (02:06) correct 55% (02:19) wrong based on 37 sessions

HideShow timer Statistics

Manager
Manager
User avatar
P
Joined: 09 Jun 2018
Posts: 187
Location: United States
GPA: 3.95
WE: Manufacturing and Production (Energy and Utilities)
GMAT ToolKit User Premium Member
Re: An equilateral triangle is inscribed in a circle. How many times great  [#permalink]

Show Tags

New post 31 Oct 2018, 06:56
1
See diagram below, O divides PQ in 2:1 ratio (property of equilateral triangle)
PO = r, PQ = r + r/2 = 3r/2
Area of equilateral triangle = \(\sqrt{3}\)*\(a^2\)/4

Perpendicular bisector of a side has length \(\sqrt{3}\)*a/2 = PQ

Hence, 3r/2 = \(\sqrt{3}\)*a/2 which gives r = a/\(\sqrt{3}\)

Hence area of circle = pi*\(a^2\)/3

Ratio = (pi*\(a^2\)/3)/(\(\sqrt{3}\)*\(a^2\)/4) = 4*pi/3\(\sqrt{3}\)

Hence Option C
Attachments

Capture.JPG
Capture.JPG [ 16.41 KiB | Viewed 466 times ]


_________________
If you found this relevant and useful, please Smash that Kudos button!
GMAT Club Bot
Re: An equilateral triangle is inscribed in a circle. How many times great   [#permalink] 31 Oct 2018, 06:56
Display posts from previous: Sort by

An equilateral triangle is inscribed in a circle. How many times great

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





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