Last visit was: 24 Apr 2026, 01:51 It is currently 24 Apr 2026, 01:51
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
Sub 505 (Easy)|   Geometry|      
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 23 Apr 2026
Posts: 109,802
Own Kudos:
810,915
Given Kudos: 105,868
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: 109,802
Kudos: 810,915
In the figure above, a circle is inscribed in a square with an area of 17 Jan 2019, 04:32
Kudos
Add Kudos
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:

5% (low)

Question Stats:

82% (00:34) correct 18% (00:42) wrong based on 63 sessions

History

Date
Time
Result
Not Attempted Yet

In the figure above, a circle is inscribed in a square with an area of 16. What is the area of the circle?

A π
B 2π
C 4π
D 8π
E 16π


Show Spoiler
Attachment:
2019-01-17_1530.png
2019-01-17_1530.png [ 7.04 KiB | Viewed 3056 times ]
ShowHide Answer
Official Answer
C
User avatar
PKN
User avatar
Joined: 01 Oct 2017
Last visit: 11 Oct 2025
Posts: 809
Own Kudos:
1,636
Given Kudos: 41
Status:Learning stage
WE:Supply Chain Management (Energy)
Posts: 809
Kudos: 1,636
In the figure above, a circle is inscribed in a square with an area of 17 Jan 2019, 04:47
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel

In the figure above, a circle is inscribed in a square with an area of 16. What is the area of the circle?

A π
B 2π
C 4π
D 8π
E 16π


Show Spoiler
Attachment:
2019-01-17_1530.png
Show more


Observe that Diameter of circle=Side of the square=\(\sqrt{16}=4\)

Hence, radius of circle=2
Therefore, area of circle=\(π(2)^2=4π\)

Ans. (C)
User avatar
KanishkM
User avatar
Joined: 09 Mar 2018
Last visit: 18 Dec 2021
Posts: 755
Own Kudos:
512
Given Kudos: 123
Location: India
Schools: DeGroote'21 Desautels '21 NUS '21
Schools: DeGroote'21 Desautels '21 NUS '21
Posts: 755
Kudos: 512
In the figure above, a circle is inscribed in a square with an area of 17 Jan 2019, 05:16
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel

In the figure above, a circle is inscribed in a square with an area of 16. What is the area of the circle?

A π
B 2π
C 4π
D 8π
E 16π


Show Spoiler
Attachment:
2019-01-17_1530.png
Show more

Need to look at the figure correctly

Area = 16
side^2 = 16
side = 4

Side of the square can act as the diameter of the circle
radius = 2

Area = π r^2
Area = 4 π

Answer C
User avatar
EgmatQuantExpert
User avatar
e-GMAT Representative
Joined: 04 Jan 2015
Last visit: 02 Apr 2024
Posts: 3,657
Own Kudos:
20,872
Given Kudos: 165
Expert
Expert reply
Posts: 3,657
Kudos: 20,872
In the figure above, a circle is inscribed in a square with an area of 17 Jan 2019, 06:48
Kudos
Add Kudos
Bookmarks
Bookmark this Post

Solution


Given:
    • A circle is inscribed in a square
    • Area of square = 16

To find:
    • The area of the circle

Approach and Working:
Area of square = \(a^2 = 16\)
    • Implies, a = 4

And, diameter of the circle = a
    • Implies, radius, \(r = \frac{a}{2} = 2\)

Therefore, area of circle = \(ᴨr^2 = 4ᴨ\)

Hence, the correct answer is Option C

Answer: C

User avatar
Archit3110
User avatar
Major Poster
Joined: 18 Aug 2017
Last visit: 23 Apr 2026
Posts: 8,628
Own Kudos:
5,190
Given Kudos: 243
Status:You learn more from failure than from success.
Location: India
Concentration: Sustainability, Marketing
GMAT Focus 1: 545 Q79 V79 DI73
GMAT Focus 2: 645 Q83 V82 DI81
GPA: 4
WE:Marketing (Energy)
Products:
GMAT Club Tests Forum Quiz
GMAT Focus 2: 645 Q83 V82 DI81
Posts: 8,628
Kudos: 5,190
In the figure above, a circle is inscribed in a square with an area of 17 Jan 2019, 08:43
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel

In the figure above, a circle is inscribed in a square with an area of 16. What is the area of the circle?

A π
B 2π
C 4π
D 8π
E 16π


Show Spoiler
Attachment:
2019-01-17_1530.png
Show more


side of square = 4
one of sides of square = diameter of circle
radius = 2
area = 4pi
IMO C
User avatar
ScottTargetTestPrep
User avatar
Target Test Prep Representative
Joined: 14 Oct 2015
Last visit: 23 Apr 2026
Posts: 22,283
Own Kudos:
26,532
Given Kudos: 302
Status:Founder & CEO
Affiliations: Target Test Prep
Location: United States (CA)
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 22,283
Kudos: 26,532
In the figure above, a circle is inscribed in a square with an area of 21 Jan 2019, 19:33
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel

In the figure above, a circle is inscribed in a square with an area of 16. What is the area of the circle?

A π
B 2π
C 4π
D 8π
E 16π


Show Spoiler
Attachment:
2019-01-17_1530.png
Show more

Since the area of the square is 16, the side of the square = diameter of circle = 4.

So the radius of the circle is 2, and its area is therefore π x 2^2 = 4π.

Answer: C
Moderators:
Bunuel
Math Expert
109802 posts
Krunaal
Tuck School Moderator
853 posts