Last visit was: 27 Apr 2026, 02:16 It is currently 27 Apr 2026, 02:16
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: 27 Apr 2026
Posts: 109,921
Own Kudos:
811,501
 [3]
Given Kudos: 105,912
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: 109,921
Kudos: 811,501
 [3]
What is the area of a circle if its center is at (3, O) and the circle 03 Nov 2020, 01:15
Kudos
Add Kudos
3
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
D
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:

80% (00:53) correct 20% (01:06) wrong based on 99 sessions

History

Date
Time
Result
Not Attempted Yet
What is the area of a circle if its center is at (3, 0) and the circle passes through (-1, -3)?

A. \(9\pi\)
B. \(10\pi\)
C. \(16\pi\)
D. \(25\pi\)
E. \(36\pi\)


Project PS Butler


Subscribe to get Daily Email - Click Here | Subscribe via RSS - RSS
ShowHide Answer
Official Answer
D
User avatar
rajatchopra1994
User avatar
Joined: 16 Feb 2015
Last visit: 22 Jun 2024
Posts: 1,052
Own Kudos:
1,308
Given Kudos: 30
Location: United States
Posts: 1,052
Kudos: 1,308
What is the area of a circle if its center is at (3, O) and the circle 03 Nov 2020, 02:38
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Explanation:
x1=3, y1= 0, x2=-1, y2=-3
Radius will be : =√{(x2-x1)²+(y2-y1)²}
=√{(4)² + (3)²}
=√25
r=5

Area of circle = πr^2 = 25π

IMO-D
User avatar
NiftyNiffler
User avatar
McCombs School Moderator
Joined: 26 May 2019
Last visit: 15 Aug 2021
Posts: 324
Own Kudos:
380
 [1]
Given Kudos: 151
Location: India
Schools: INSEAD Jan '20 LSE MFin "21 McCombs '23 Tepper '23
GMAT 1: 690 Q50 V33
Products:
My Reviews
Schools: INSEAD Jan '20 LSE MFin "21 McCombs '23 Tepper '23
GMAT 1: 690 Q50 V33
Posts: 324
Kudos: 380
 [1]
What is the area of a circle if its center is at (3, O) and the circle 03 Nov 2020, 05:01
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Radius of the circle = sqrt((3-(-1))^2 + (0-(-3))^2)) = 5 (Distance between points (3,0) and (-1, -3) )

Area = π*r^2 = 25π

D
User avatar
CrackverbalGMAT
User avatar
Major Poster
Joined: 03 Oct 2013
Last visit: 26 Apr 2026
Posts: 4,846
Own Kudos:
9,187
 [2]
Given Kudos: 226
Affiliations: CrackVerbal
Location: India
Expert
Expert reply
Posts: 4,846
Kudos: 9,187
 [2]
What is the area of a circle if its center is at (3, O) and the circle 03 Nov 2020, 09:22
2
Kudos
Add Kudos
Bookmarks
Bookmark this Post
The distance formula is an important and well used formula. While using this we need to be careful with negative numbers. There is another method, wherein you draw the diagram as shown below.

You will get a right angled triangle and we need to find the length of the hypotenuse, using Pythagoras's theorem.

Length AB = 4 units and BC = 3 units

Here we have a Pythagorean triplet and therefore the length of the hypotenuse = radius of the circle = 5 .


The Area = \(\pi * r^2 = 25\pi\)


Option D

Arun Kumar
Attachments

Area.jpg
Area.jpg [ 361.17 KiB | Viewed 2092 times ]

User avatar
carouselambra
User avatar
Current Student
Joined: 14 Mar 2018
Last visit: 28 Apr 2023
Posts: 297
Own Kudos:
451
 [1]
Given Kudos: 43
Posts: 297
Kudos: 451
 [1]
What is the area of a circle if its center is at (3, O) and the circle 03 Nov 2020, 10:15
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Using the distance formula, we know that: Distance = sqrt((3-(-1))^2 + (0-(-3))^2))
Coordinates : (3, 0) and (-1, -3)
Distance = 5

Area of circle= pi*r*r
Pi*25

IMO D
User avatar
SairamRamo
User avatar
Current Student
Joined: 02 Sep 2019
Last visit: 05 May 2021
Posts: 72
Own Kudos:
70
 [1]
Given Kudos: 82
Location: India
Concentration: Technology, General Management
Schools: Simon '23 (WL) Sauder '23 (D) ISB'22 (D) Merage (A$) BU Questrom '23 (WL) Schulich Sept '23 (I)
GMAT 1: 680 Q50 V31
WE:Information Technology (Commercial Banking)
Schools: Simon '23 (WL) Sauder '23 (D) ISB'22 (D) Merage (A$) BU Questrom '23 (WL) Schulich Sept '23 (I)
GMAT 1: 680 Q50 V31
Posts: 72
Kudos: 70
 [1]
What is the area of a circle if its center is at (3, O) and the circle 03 Nov 2020, 18:21
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Radius of circle = Distance between Centre (3, 0) and (-1, -3) = sqrt (4^2 + 3^2) = 5

Area of circle = Pi * (Radius^2)= 25*Pi

Answer is D
avatar
GCMEMBER
avatar
Joined: 09 Dec 2019
Last visit: 03 Jun 2021
Posts: 123
Own Kudos:
176
 [1]
Given Kudos: 5
Posts: 123
Kudos: 176
 [1]
What is the area of a circle if its center is at (3, O) and the circle 03 Nov 2020, 22:33
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Radius = √[(x2-x1)^2+(y2-y1)^2]
Here, x1=3, y1= 0, x2=-1, and y2=-3
r=√[4^2+3^2]
r=√25
r=5

Area of circle = πr^2 = 25π

Option D

Posted from my mobile device
User avatar
stne
User avatar
Joined: 27 May 2012
Last visit: 26 Apr 2026
Posts: 1,811
Own Kudos:
2,093
Given Kudos: 681
Posts: 1,811
Kudos: 2,093
What is the area of a circle if its center is at (3, O) and the circle 06 Nov 2020, 00:37
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
What is the area of a circle if its center is at (3, 0) and the circle passes through (-1, -3)?

A. \(9\pi\)
B. \(10\pi\)
C. \(16\pi\)
D. \(25\pi\)
E. \(36\pi\)


Project PS Butler


Subscribe to get Daily Email - Click Here | Subscribe via RSS - RSS
Show more

Alternate way:

Eqn. of a circle
\((x-p)^2 -(y-q)^2=r^2\)

Where \(p\) and \(q\) are the coordinates of the center and \((x,y)\) are the points through which circle passes and \(r\) is the radius of the circle.
\((-1-3)^2 +(-3-0)^2= r^2\)
\(16+9=r^2\) so \(r^2=25\) hence \( r=5 \) and area of circle is \(25\pi\)
Ans-D

Hope it helps.
Moderators:
Bunuel
Math Expert
109921 posts
Krunaal
Tuck School Moderator
852 posts