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

It is currently 17 Jan 2019, 18:09

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
Events & Promotions in January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
  • The winning strategy for a high GRE score

     January 17, 2019

     January 17, 2019

     08:00 AM PST

     09:00 AM PST

    Learn the winning strategy for a high GRE score — what do people who reach a high score do differently? We're going to share insights, tips and strategies from data we've collected from over 50,000 students who used examPAL.
  • Free GMAT Strategy Webinar

     January 19, 2019

     January 19, 2019

     07:00 AM PST

     09:00 AM PST

    Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.

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

 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 52231
An equilateral triangle is inscribed in a circle. How many times great  [#permalink]

Show Tags

New post 31 Oct 2018, 01:00
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

52% (01:24) correct 48% (02:09) wrong based on 32 sessions

HideShow timer Statistics

An equilateral triangle is inscribed in a circle. How many times greater is the area of the circle than the area of the triangle?

A. π/√3

B. 3π/4

C. 4π/(3√3)

D. 3

E. 2π/√3

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Manager
Manager
User avatar
G
Joined: 09 Jun 2018
Posts: 184
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, 05:56
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 221 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 &nbs [#permalink] 31 Oct 2018, 05:56
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  


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

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

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.