Last visit was: 22 Apr 2026, 18:29 It is currently 22 Apr 2026, 18:29
Home
Messages
Tests
Schools
Events
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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel
Back to Forum
Create Topic
555-605 (Medium)|   Geometry|      
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 22 Apr 2026
Posts: 109,754
Own Kudos:
810,671
 [6]
Given Kudos: 105,823
Products:
GMAT Club Tests Forum Quiz
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 109,754
Kudos: 810,671
 [6]
A circular field that measures 100π meters in circumference has six mo 23 Jan 2015, 07:29
Kudos
Add Kudos
6
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

25% (medium)

Question Stats:

79% (01:53) correct 21% (02:27) wrong based on 157 sessions

History

Date
Time
Result
Not Attempted Yet

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

Show Spoiler
Attachment:
monuments.png
monuments.png [ 6.75 KiB | Viewed 5770 times ]
ShowHide Answer
Official Answer
C
User avatar
chetan2u
User avatar
GMAT Expert
Joined: 02 Aug 2009
Last visit: 22 Apr 2026
Posts: 11,229
Own Kudos:
44,994
 [1]
Given Kudos: 335
Status:Math and DI Expert
Location: India
Concentration: Human Resources, General Management
GMAT Focus 1: 735 Q90 V89 DI81
Products:
My Reviews
Expert
Expert reply
GMAT Focus 1: 735 Q90 V89 DI81
Posts: 11,229
Kudos: 44,994
 [1]
A circular field that measures 100π meters in circumference has six mo 23 Jan 2015, 07:33
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
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
User avatar
Cadaver
User avatar
Joined: 03 Oct 2014
Last visit: 09 Oct 2018
Posts: 114
Own Kudos:
102
 [1]
Given Kudos: 89
Location: India
Concentration: Operations, Technology
Schools: ISB '17 Tepper '18 Oxford'17 IIMU'17 (A) Kelley '16 NTU '17 NUS '17
GMAT 1: 720 Q48 V40
WE:Engineering (Aerospace and Defense)
Products:
My Reviews
Schools: ISB '17 Tepper '18 Oxford'17 IIMU'17 (A) Kelley '16 NTU '17 NUS '17
GMAT 1: 720 Q48 V40
Posts: 114
Kudos: 102
 [1]
A circular field that measures 100π meters in circumference has six mo 23 Jan 2015, 07:55
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
6 equilateral triangles with side 50 units......(2 pi r = 100)

So path length - 50*6 = 300
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 22 Apr 2026
Posts: 109,754
Own Kudos:
810,671
 [1]
Given Kudos: 105,823
Products:
GMAT Club Tests Forum Quiz
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 109,754
Kudos: 810,671
 [1]
A circular field that measures 100π meters in circumference has six mo 26 Jan 2015, 04:26
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
Bunuel

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

Show Spoiler
Attachment:
monuments.png
Show more

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.

Answer: C.
avatar
PareshGmat
avatar
Joined: 27 Dec 2012
Last visit: 10 Jul 2016
Posts: 1,531
Own Kudos:
8,271
 [1]
Given Kudos: 193
Status:The Best Or Nothing
Location: India
Concentration: General Management, Technology
WE:Information Technology (Computer Software)
Posts: 1,531
Kudos: 8,271
 [1]
A circular field that measures 100π meters in circumference has six mo 03 Feb 2015, 00:53
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Answer = C. 300

Attachment:
monuments.png
monuments.png [ 8.28 KiB | Viewed 5137 times ]

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

Total length of path = 6*50 = 300
Moderators:
Bunuel
Math Expert
109754 posts
Krunaal
Tuck School Moderator
853 posts