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

 It is currently 19 Nov 2018, 05:40

### 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

## Events & Promotions

###### Events & Promotions in November
PrevNext
SuMoTuWeThFrSa
28293031123
45678910
11121314151617
18192021222324
2526272829301
Open Detailed Calendar
• ### How to QUICKLY Solve GMAT Questions - GMAT Club Chat

November 20, 2018

November 20, 2018

09:00 AM PST

10:00 AM PST

The reward for signing up with the registration form and attending the chat is: 6 free examPAL quizzes to practice your new skills after the chat.
• ### The winning strategy for 700+ on the GMAT

November 20, 2018

November 20, 2018

06:00 PM EST

07:00 PM EST

What people who reach the high 700's do differently? We're going to share insights, tips and strategies from data we collected on over 50,000 students who used examPAL.

# A circular field that measures 100π meters in circumference has six mo

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 50670
A circular field that measures 100π meters in circumference has six mo  [#permalink]

### Show Tags

23 Jan 2015, 06:29
00:00

Difficulty:

25% (medium)

Question Stats:

79% (01:50) correct 21% (02:25) wrong based on 106 sessions

### HideShow timer Statistics

A circular field that measures 100π meters in circumference has six monuments evenly spaced around that circumference. If a hexagonal path has been installed to allow patrons to walk straight from monument to as pictured, what is the length, in meters, of that path.

A. 240
B. 270
C. 300
D. 330
E. 360

Attachment:

monuments.png [ 6.75 KiB | Viewed 2269 times ]

_________________
Math Expert
Joined: 02 Aug 2009
Posts: 7037
Re: A circular field that measures 100π meters in circumference has six mo  [#permalink]

### Show Tags

23 Jan 2015, 06:33
1
ans C 300...
each sector is of 60 degree...
which makes it eq triangle.. so each side is 50 which ir radius found from circumference.
ans 50*6=300
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

GMAT online Tutor

Manager
Joined: 03 Oct 2014
Posts: 132
Location: India
Concentration: Operations, Technology
GMAT 1: 720 Q48 V40
WE: Engineering (Aerospace and Defense)
Re: A circular field that measures 100π meters in circumference has six mo  [#permalink]

### Show Tags

23 Jan 2015, 06:55
1
6 equilateral triangles with side 50 units......(2 pi r = 100)

So path length - 50*6 = 300
Math Expert
Joined: 02 Sep 2009
Posts: 50670
Re: A circular field that measures 100π meters in circumference has six mo  [#permalink]

### Show Tags

26 Jan 2015, 03:26
Bunuel wrote:

A circular field that measures 100π meters in circumference has six monuments evenly spaced around that circumference. If a hexagonal path has been installed to allow patrons to walk straight from monument to as pictured, what is the length, in meters, of that path.

A. 240
B. 270
C. 300
D. 330
E. 360

Attachment:
monuments.png

VERITAS PREP OFFICIAL SOLUTION:

The key to solving this question is recognizing that, with six equally spaced items around a circle, the lines connecting the center of the circle to each item will form 60-degree angles (each pair of adjacent lines will form a 1/6 section of the circle). That means that, since you know the circumference of the circle is 100π the radius is 50. And what you're really looking to calculate - the distance from each monument to the next - will then form a set of equilateral triangles with all sides 50. Each monument-to-monument distance will form the third side of an isosceles triangle (each radius is the same) with one angle 60, so they must all be equilateral.

Therefore, the straight-line distance from each monument to the next will be 50, and with six such distances forming the path, the path will total 300 meters in length.

_________________
SVP
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1826
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
A circular field that measures 100π meters in circumference has six mo  [#permalink]

### Show Tags

02 Feb 2015, 23:53
1

Attachment:

monuments.png [ 8.28 KiB | Viewed 1855 times ]

Six equilateral triangles formed with each side = radius of circle $$= \frac{100\pi}{2\pi} = 50$$

Total length of path = 6*50 = 300
_________________

Kindly press "+1 Kudos" to appreciate

Non-Human User
Joined: 09 Sep 2013
Posts: 8835
Re: A circular field that measures 100π meters in circumference has six mo  [#permalink]

### Show Tags

11 Aug 2017, 09:44
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Re: A circular field that measures 100π meters in circumference has six mo &nbs [#permalink] 11 Aug 2017, 09:44
Display posts from previous: Sort by