It is currently 21 Jan 2018, 06:57

### 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

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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# In the coordinate plane, a circle centered on point (-3, -4) passes th

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 43348

Kudos [?]: 139663 [0], given: 12794

In the coordinate plane, a circle centered on point (-3, -4) passes th [#permalink]

### Show Tags

11 Oct 2015, 08:25
Expert's post
4
This post was
BOOKMARKED
00:00

Difficulty:

25% (medium)

Question Stats:

79% (00:59) correct 21% (00:41) wrong based on 133 sessions

### HideShow timer Statistics

In the coordinate plane, a circle centered on point (-3, -4) passes through point (1, 1). What is the area of the circle?

A. 9π
B. 18π
C. 25π
D. 37π
E. 41π

Kudos for a correct solution.
[Reveal] Spoiler: OA

_________________

Kudos [?]: 139663 [0], given: 12794

Director
Joined: 10 Mar 2013
Posts: 588

Kudos [?]: 516 [1], given: 200

Location: Germany
Concentration: Finance, Entrepreneurship
GMAT 1: 580 Q46 V24
GPA: 3.88
WE: Information Technology (Consulting)
Re: In the coordinate plane, a circle centered on point (-3, -4) passes th [#permalink]

### Show Tags

11 Oct 2015, 09:42
1
KUDOS
1
This post was
BOOKMARKED
Bunuel wrote:
In the coordinate plane, a circle centered on point (-3, -4) passes through point (1, 1). What is the area of the circle?

A. 9π
B. 18π
C. 25π
D. 37π
E. 41π

Kudos for a correct solution.

We can build a triangle with the given points and find the hypotenuse (Radius) using Pythagorean theorem:
4^2+5^2=r^2 --> 16+25 so the area is equal to 41Pi Answer (E)
_________________

When you’re up, your friends know who you are. When you’re down, you know who your friends are.

800Score ONLY QUANT CAT1 51, CAT2 50, CAT3 50
GMAT PREP 670
MGMAT CAT 630
KAPLAN CAT 660

Kudos [?]: 516 [1], given: 200

Intern
Status: Focus - Determination - Domination
Joined: 02 Mar 2015
Posts: 37

Kudos [?]: 25 [1], given: 9

Location: India
Re: In the coordinate plane, a circle centered on point (-3, -4) passes th [#permalink]

### Show Tags

12 Oct 2015, 09:42
1
KUDOS
Bunuel wrote:
In the coordinate plane, a circle centered on point (-3, -4) passes through point (1, 1). What is the area of the circle?

A. 9π
B. 18π
C. 25π
D. 37π
E. 41π

Kudos for a correct solution.

r^2=(-3-1)^2+(-4-1)^2=16+25=41

Area of circle=πr^2=41π

_________________

Let's Rock!

Kudos [?]: 25 [1], given: 9

Intern
Status: GMAT1:520 Q44 V18
Joined: 02 Sep 2015
Posts: 11

Kudos [?]: 21 [1], given: 14

Location: United States
Concentration: Strategy, Technology
WE: Information Technology (Computer Software)
Re: In the coordinate plane, a circle centered on point (-3, -4) passes th [#permalink]

### Show Tags

12 Oct 2015, 10:08
1
KUDOS
The circle is with center (-3,-4) and one of the point as (1,1).Using distance equation we can get the radius :
r^2 = sqrt ((-3-1)^2 + (-4-1)^2) or r = 41^1/2

Hence aread = pi (r)^2 = 41 pi

Kudos [?]: 21 [1], given: 14

Intern
Joined: 12 Aug 2014
Posts: 7

Kudos [?]: 8 [1], given: 39

Location: India
Concentration: Operations, Finance
WE: Engineering (Energy and Utilities)
Re: In the coordinate plane, a circle centered on point (-3, -4) passes th [#permalink]

### Show Tags

12 Oct 2015, 10:26
1
KUDOS
From the distance formula:

r^2= (-3-1)^2 + (-4-1)^2
r^2= 16+25=41

As we know, Area of a Circle=pi * r^2
Therefore, Area of Circle= 41 pi

_________________

Kudos [?]: 8 [1], given: 39

Math Expert
Joined: 02 Sep 2009
Posts: 43348

Kudos [?]: 139663 [1], given: 12794

Re: In the coordinate plane, a circle centered on point (-3, -4) passes th [#permalink]

### Show Tags

18 Oct 2015, 11:04
1
KUDOS
Expert's post
Bunuel wrote:
In the coordinate plane, a circle centered on point (-3, -4) passes through point (1, 1). What is the area of the circle?

A. 9π
B. 18π
C. 25π
D. 37π
E. 41π

Kudos for a correct solution.

VERITAS PREP OFFICIAL SOLUTION:

As you know, the area of a circle is $$π(r)^2$$, meaning that your goal is to find the radius of this circle. To go from the center of the circle (-3, -4) to the given point on the circle (1, 1), you move 4 spaces horizontally (from x-coordinate -3 to x-coordinate 1) and 5 spaces vertically (from y-coordinate -4 to y-coordinate 1). That sets up a right triangle in which the hypotenuse is the radius. a^2+b^2=c^2 becomes 4^2+5^2=c^2, so c^2=16+25=41. And here's where a shortcut awaits. Since your job is to take the radius (c in the Pythagorean Theorem) and square it, then multiply by π (π(r)^2) you're actually about done. Since $$r^2=41$$, the answer is $$41π$$.
_________________

Kudos [?]: 139663 [1], given: 12794

Director
Joined: 04 Jun 2016
Posts: 645

Kudos [?]: 410 [0], given: 36

GMAT 1: 750 Q49 V43
Re: In the coordinate plane, a circle centered on point (-3, -4) passes th [#permalink]

### Show Tags

14 Jul 2016, 07:32
Bunuel wrote:
In the coordinate plane, a circle centered on point (-3, -4) passes through point (1, 1). What is the area of the circle?

A. 9π
B. 18π
C. 25π
D. 37π
E. 41π

Kudos for a correct solution.

Apply distance formula between the xy pair of (-3-,4) and (1,1)
The distance so obtained will be the radius of the circle
Once radius is known then $$area = π*r^2$$

$$D= \sqrt{(-3-1)^2+(-4-1)^2}$$
$$D= \sqrt{(-4)^2+(-5)^2}$$

$$D= \sqrt{16+25}$$

$$D= \sqrt{41}$$

$$Radius = \sqrt{41}$$
$$Radius^2 = 41$$

$$Area = Radius^2*π$$

$$Area= 41π$$

_________________

Posting an answer without an explanation is "GOD COMPLEX". The world doesn't need any more gods. Please explain you answers properly.
FINAL GOODBYE :- 17th SEPTEMBER 2016. .. 16 March 2017 - I am back but for all purposes please consider me semi-retired.

Kudos [?]: 410 [0], given: 36

Non-Human User
Joined: 09 Sep 2013
Posts: 14201

Kudos [?]: 291 [0], given: 0

Re: In the coordinate plane, a circle centered on point (-3, -4) passes th [#permalink]

### Show Tags

13 Sep 2017, 09:31
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

Kudos [?]: 291 [0], given: 0

Re: In the coordinate plane, a circle centered on point (-3, -4) passes th   [#permalink] 13 Sep 2017, 09:31
Display posts from previous: Sort by