Last visit was: 23 Apr 2026, 16:53 It is currently 23 Apr 2026, 16:53
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
505-555 (Easy)|   Geometry|      
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 23 Apr 2026
Posts: 109,785
Own Kudos:
810,870
Given Kudos: 105,853
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: 109,785
Kudos: 810,870
A 3 by 4 rectangle is inscribed in a circle. What is the area of the 20 Nov 2017, 23:20
Kudos
Add Kudos
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:

15% (low)

Question Stats:

87% (00:45) correct 13% (01:01) wrong based on 45 sessions

History

Date
Time
Result
Not Attempted Yet
A 3 by 4 rectangle is inscribed in a circle. What is the area of the circle?

(A) 6.25π
(B) 9π
(C) 12.25π
(D) 16π
(E) 25π
ShowHide Answer
Official Answer
A
User avatar
rahul16singh28
User avatar
Joined: 31 Jul 2017
Last visit: 09 Jun 2020
Posts: 428
Own Kudos:
503
Given Kudos: 752
Location: Malaysia
Schools: INSEAD Jan '19
GPA: 3.95
WE:Consulting (Energy)
Schools: INSEAD Jan '19
Posts: 428
Kudos: 503
A 3 by 4 rectangle is inscribed in a circle. What is the area of the 20 Nov 2017, 23:26
Kudos
Add Kudos
Bookmarks
Bookmark this Post
\sqrt{}
Bunuel
A 3 by 4 rectangle is inscribed in a circle. What is the area of the circle?

(A) 6.25π
(B) 9π
(C) 12.25π
(D) 16π
(E) 25π
Show more

l = 3, b = 5
2r = 5... A= 6.25pi
User avatar
Skywalker18
User avatar
Retired Moderator
Joined: 08 Dec 2013
Last visit: 15 Nov 2023
Posts: 1,973
Own Kudos:
10,166
Given Kudos: 171
Status:Greatness begins beyond your comfort zone
Location: India
Concentration: General Management, Strategy
GPA: 3.2
WE:Information Technology (Consulting)
Products:
My Reviews
Posts: 1,973
Kudos: 10,166
A 3 by 4 rectangle is inscribed in a circle. What is the area of the 21 Nov 2017, 01:06
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
A 3 by 4 rectangle is inscribed in a circle. What is the area of the circle?

(A) 6.25π
(B) 9π
(C) 12.25π
(D) 16π
(E) 25π
Show more

The diagonal of the rectangle is 5 since we have pythagoras right triangle 3-4-5 .
This diagonal is the diameter of the circle .
Area = pi* (5/2)^2 = 6.25 pi

Answer A
avatar
pulkitarya
avatar
Joined: 16 Aug 2016
Last visit: 15 Apr 2023
Posts: 13
Own Kudos:
10
Given Kudos: 40
Location: India
Schools: IIMA IIMA PGPX'22 ISB'22 HEC ESSEC GMBA '22
GMAT 1: 530 Q39 V25
GPA: 3.6
WE:Sales (Retail: E-commerce)
Schools: IIMA IIMA PGPX'22 ISB'22 HEC ESSEC GMBA '22
GMAT 1: 530 Q39 V25
Posts: 13
Kudos: 10
A 3 by 4 rectangle is inscribed in a circle. What is the area of the 21 Nov 2017, 01:15
Kudos
Add Kudos
Bookmarks
Bookmark this Post
A rectangle being inscribed in a circle means that the diagonal of the rectangle will become the diameter of the circle.

Diagonal of a rectangle = \(\sqrt{L^2 + B^2}\) => \(\sqrt{4^2 + 3^2}\) => \(\sqrt{16+9}\) => \(\sqrt{25}\) = 5
As in this case, diagonal = diameter, hence, radius of the circle becomes 2.5

Area of a circle = \(\pi\)\(r^2\) => \(\pi\)*\(2.5^2\) => 6.25\(\pi\)
Option A
User avatar
Abhishek009
User avatar
Board of Directors
Joined: 11 Jun 2011
Last visit: 17 Dec 2025
Posts: 5,903
Own Kudos:
5,452
Given Kudos: 463
Status:QA & VA Forum Moderator
Location: India
GPA: 3.5
WE:Business Development (Commercial Banking)
Posts: 5,903
Kudos: 5,452
A 3 by 4 rectangle is inscribed in a circle. What is the area of the 21 Nov 2017, 08:31
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
A 3 by 4 rectangle is inscribed in a circle. What is the area of the circle?

(A) 6.25π
(B) 9π
(C) 12.25π
(D) 16π
(E) 25π
Show more
Diagonal of the rectangle = Diameter of the Circle.

Diameter of the rectangle is 5 ( As Its a right angled triangle with sides 3,4,5)

So, Radius is \(2.5\)

Thus, area will be \(2.5^2π\) = \(6.25π\) , answer will be (A)
User avatar
JeffTargetTestPrep
User avatar
Target Test Prep Representative
Joined: 04 Mar 2011
Last visit: 05 Jan 2024
Posts: 2,974
Own Kudos:
8,710
Given Kudos: 1,646
Status:Head GMAT Instructor
Affiliations: Target Test Prep
Expert
Expert reply
Posts: 2,974
Kudos: 8,710
A 3 by 4 rectangle is inscribed in a circle. What is the area of the 27 Nov 2017, 11:50
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
A 3 by 4 rectangle is inscribed in a circle. What is the area of the circle?

(A) 6.25π
(B) 9π
(C) 12.25π
(D) 16π
(E) 25π
Show more

When a rectangle is inscribed in a circle, its diagonal is equal to the diameter of the circle. Furthermore, the diagonal of the rectangle divides the rectangle into two congruent right triangles with the diagonal being the hypotenuse. Since the two legs of the right triangle are 3 and 4,respectively, the hypotenuse must be 5, and thus, the diameter of the circle is 5, and the radius is 2.5. Therefore, the area of the circle is:

(2.5)^2 x π = 6.25π

Answer: A
Moderators:
Bunuel
Math Expert
109785 posts
Krunaal
Tuck School Moderator
853 posts