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

It is currently 15 Aug 2018, 13:51

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

If a triangle of base 7 is equal in area to a circle of radius 7, what

  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: 47920
If a triangle of base 7 is equal in area to a circle of radius 7, what  [#permalink]

Show Tags

New post 09 Feb 2018, 00:34
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

93% (00:34) correct 7% (00:43) wrong based on 59 sessions

HideShow timer Statistics

If a triangle of base 7 is equal in area to a circle of radius 7, what is the altitude of the triangle?

(A) \(8\pi\)

(B) \(10\pi\)

(C) \(12\pi\)

(D) \(14\pi\)

(E) Cannot be determined from the information given.

_________________

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

Senior Manager
Senior Manager
User avatar
P
Joined: 07 Jul 2012
Posts: 354
Location: India
Concentration: Finance, Accounting
GPA: 3.5
Premium Member
Re: If a triangle of base 7 is equal in area to a circle of radius 7, what  [#permalink]

Show Tags

New post 09 Feb 2018, 00:43
1
Area of a circle=\(\pi\)\(r^2\)= \(\pi\)\((7)^2\)= 49\(\pi\)

Area of a triangle= \(\frac{1}{2}\)*7*h

Area of a triangle= Area of a circle

\(\frac{1}{2}\)*7*h= 49\(\pi\)

h= 14\(\pi\)

So, Altitude of a triangle= 14\(\pi\)

Answer: D.
_________________

Kindly hit kudos if my post helps!

Director
Director
User avatar
V
Status: Preparing for GMAT
Joined: 25 Nov 2015
Posts: 731
Location: India
GPA: 3.64
GMAT ToolKit User Premium Member Reviews Badge
Re: If a triangle of base 7 is equal in area to a circle of radius 7, what  [#permalink]

Show Tags

New post 09 Feb 2018, 02:21
Bunuel wrote:
If a triangle of base 7 is equal in area to a circle of radius 7, what is the altitude of the triangle?

(A) \(8\pi\)

(B) \(10\pi\)

(C) \(12\pi\)

(D) \(14\pi\)

(E) Cannot be determined from the information given.


Area of triangle = Area of circle
Area of circle = A = \(πr^2\) = \(π 7^2\)
Area of triangle = \(\frac{1}{2}\) x base x altitude = \(\frac{1}{2}\) x 7 x h = \(π 7^2\)
h = 14\(π\)
Answer D
_________________

Please give kudos, if you like my post

When the going gets tough, the tough gets going...

Manager
Manager
avatar
S
Joined: 23 Sep 2016
Posts: 227
Premium Member Reviews Badge
Re: If a triangle of base 7 is equal in area to a circle of radius 7, what  [#permalink]

Show Tags

New post 10 Feb 2018, 00:15
Bunuel wrote:
If a triangle of base 7 is equal in area to a circle of radius 7, what is the altitude of the triangle?

(A) \(8\pi\)

(B) \(10\pi\)

(C) \(12\pi\)

(D) \(14\pi\)

(E) Cannot be determined from the information given.

Anwer Is D option as 1/2*7*H= \(49\pi\)
H= \(49\pi\)*2/7
H= \(14\pi\)
Target Test Prep Representative
User avatar
G
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2727
Re: If a triangle of base 7 is equal in area to a circle of radius 7, what  [#permalink]

Show Tags

New post 12 Feb 2018, 17:34
Bunuel wrote:
If a triangle of base 7 is equal in area to a circle of radius 7, what is the altitude of the triangle?

(A) \(8\pi\)

(B) \(10\pi\)

(C) \(12\pi\)

(D) \(14\pi\)

(E) Cannot be determined from the information given.


We can create the equation by equating the area of the triangle and the area of the circle:

7h/2 = π7^2

7h/2 = 49π

7h = 98π

h = 14π

Answer: D
_________________

Jeffery Miller
Head of GMAT Instruction

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Re: If a triangle of base 7 is equal in area to a circle of radius 7, what &nbs [#permalink] 12 Feb 2018, 17:34
Display posts from previous: Sort by

If a triangle of base 7 is equal in area to a circle of radius 7, what

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

Events & Promotions

PREV
NEXT


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®.