Last visit was: 24 Apr 2026, 21:12 It is currently 24 Apr 2026, 21:12
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
605-655 (Medium)|   Geometry|      
User avatar
Pritishd
User avatar
UNC Kenan Flagler Moderator
Joined: 18 Jul 2015
Last visit: 05 Jul 2025
Posts: 230
Own Kudos:
313
 [10]
Given Kudos: 120
GMAT 1: 530 Q43 V20
WE:Analyst (Consumer Packaged Goods)
GMAT 1: 530 Q43 V20
Posts: 230
Kudos: 313
 [10]
A circle is inscribed in equilateral triangle XYZ, which is itself Updated on: 14 Sep 2017, 03:35
Originally posted by Pritishd on 14 Sep 2017, 03:30.
Last edited by Bunuel on 14 Sep 2017, 03:35, edited 1 time in total.
Renamed the topic and edited the question.
1
Kudos
Add Kudos
9
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

45% (medium)

Question Stats:

58% (01:27) correct 42% (01:42) wrong based on 211 sessions

History

Date
Time
Result
Not Attempted Yet
A circle is inscribed in equilateral triangle XYZ, which is itself inscribed in a circle. What is the area of the smaller circle?

(1) The area of the larger circle is \(24\pi\).
(2) The radius of the larger circle is twice the radius of the smaller circle.
ShowHide Answer
Official Answer
A
Most Helpful Reply
User avatar
niks18
User avatar
Retired Moderator
Joined: 25 Feb 2013
Last visit: 30 Jun 2021
Posts: 862
Own Kudos:
1,805
 [5]
Given Kudos: 54
Location: India
GPA: 3.82
Products:
My Reviews
Posts: 862
Kudos: 1,805
 [5]
A circle is inscribed in equilateral triangle XYZ, which is itself 14 Sep 2017, 12:45
3
Kudos
Add Kudos
2
Bookmarks
Bookmark this Post
Pritishd
A circle is inscribed in equilateral triangle XYZ, which is itself inscribed in a circle. What is the area of the smaller circle?

(1) The area of the larger circle is \(24\pi\).
(2) The radius of the larger circle is twice the radius of the smaller circle.
Show more

Attachment:
TRIANGLE.jpg
TRIANGLE.jpg [ 95.63 KiB | Viewed 4053 times ]

Statement 1: Provides the area of the larger circle. Hence \(R\) can be calculated. Sufficient

Statement 2: This statement does not provide any new information so the value of radius of either of the circle cannot be calculated. Hence insufficient

Option A
General Discussion
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 24 Apr 2026
Posts: 109,818
Own Kudos:
811,089
Given Kudos: 105,873
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: 109,818
Kudos: 811,089
A circle is inscribed in equilateral triangle XYZ, which is itself 14 Sep 2017, 22:01
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Pritishd
A circle is inscribed in equilateral triangle XYZ, which is itself inscribed in a circle. What is the area of the smaller circle?

(1) The area of the larger circle is \(24\pi\).
(2) The radius of the larger circle is twice the radius of the smaller circle.
Show more

Similar question: https://gmatclub.com/forum/circle-o-is- ... 96380.html
User avatar
CEdward
User avatar
Joined: 11 Aug 2020
Last visit: 14 Apr 2022
Posts: 1,161
Own Kudos:
289
Given Kudos: 332
Posts: 1,161
Kudos: 289
A circle is inscribed in equilateral triangle XYZ, which is itself 03 Apr 2021, 17:21
Kudos
Add Kudos
Bookmarks
Bookmark this Post
A circle is inscribed in equilateral triangle XYZ, which is itself inscribed in a circle. What is the area of the smaller circle?

(1) The area of the larger circle is 24π.

This gives us the hypotenuse of a 30-60-90 triangle. Sufficient. (The height, which is the radius of the smaller circle, can be derived)

Sufficient.

(2) The radius of the larger circle is twice the radius of the smaller circle.

This tells us that the triangle is 30-60-90 (which gets formed from the one vertice of the equilateral triangle and the radius of the smaller circle), but nothing else.

Insufficient.
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 38,976
Own Kudos:
1,117
Posts: 38,976
Kudos: 1,117
A circle is inscribed in equilateral triangle XYZ, which is itself 16 Jul 2023, 14:59
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Automated notice from GMAT Club BumpBot:

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

This post was generated automatically.
Moderators:
Bunuel
Math Expert
109818 posts
kingbucky
498 posts
Gmat860sanskar
212 posts