GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 18 Dec 2018, 13:31

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 December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
• Happy Christmas 20% Sale! Math Revolution All-In-One Products!

December 20, 2018

December 20, 2018

10:00 PM PST

11:00 PM PST

This is the most inexpensive and attractive price in the market. Get the course now!
• Key Strategies to Master GMAT SC

December 22, 2018

December 22, 2018

07:00 AM PST

09:00 AM PST

Attend this webinar to learn how to leverage Meaning and Logic to solve the most challenging Sentence Correction Questions.

In the figure above, what is the circumference of the circle with cent

Author Message
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 51280
In the figure above, what is the circumference of the circle with cent  [#permalink]

Show Tags

18 Dec 2017, 20:47
00:00

Difficulty:

5% (low)

Question Stats:

96% (00:36) correct 4% (00:36) wrong based on 151 sessions

HideShow timer Statistics

In the figure above, what is the circumference of the circle with center C?

(A) 2π
(B) 4π
(C) 5π
(D) 8π
(E) 10π

Attachment:

2017-12-19_0837_003.png [ 7.42 KiB | Viewed 1472 times ]

_________________
Director
Joined: 06 Jan 2015
Posts: 531
Location: India
Concentration: Operations, Finance
GPA: 3.35
WE: Information Technology (Computer Software)
Re: In the figure above, what is the circumference of the circle with cent  [#permalink]

Show Tags

18 Dec 2017, 21:54
Bunuel wrote:

In the figure above, what is the circumference of the circle with center C?

(A) 2π
(B) 4π
(C) 5π
(D) 8π
(E) 10π

Attachment:
2017-12-19_0837_003.png

The circumference of the circle with center C = 2π r (radius)

But what is r? It is distance between (5, 4) and (5,8)=4

Hence circumference of the circle with center C = 2*4*π = 8π

Hence D
_________________

आत्मनॊ मोक्षार्थम् जगद्धिताय च

Resource: GMATPrep RCs With Solution

Manager
Joined: 24 Nov 2016
Posts: 152
Re: In the figure above, what is the circumference of the circle with cent  [#permalink]

Show Tags

19 Dec 2017, 06:26
Bunuel wrote:

In the figure above, what is the circumference of the circle with center C?

(A) 2π
(B) 4π
(C) 5π
(D) 8π
(E) 10π

Attachment:
2017-12-19_0837_003.png

Distance between two points: $$\sqrt{(x2-x1)^2+(y2-y1)^2} = \sqrt{(5-5)^2+(8-4)^2}=√16=4$$

Diameter: $$radius*2=(4)*2=8$$

Circumference: $$diameter*π=(8)π$$

Manager
Status: Turning my handicaps into assets
Joined: 09 Apr 2017
Posts: 123
Re: In the figure above, what is the circumference of the circle with cent  [#permalink]

Show Tags

10 Jan 2018, 05:54
We don't need to find a distance between two points since both points is on x=5 and "moves" along y coordinate. Just finding the difference between y coordinates is enough to find the radius.

8-4=4 so r equals 4,thus circumference is 2{\pi}*r=2*pi*4=8*pi

_________________

If time was on my side, I'd still have none to waste......

Intern
Joined: 28 Dec 2017
Posts: 31
Re: In the figure above, what is the circumference of the circle with cent  [#permalink]

Show Tags

10 Jan 2018, 16:15
Since there is a straight line through the circle because the two coordinates are (5, 8) and (5, 4), calculate the distance between the two y coordinates: 8 - 4 = 4. Hence 4 is the radius.

The equation for circumference of a circle is 2*pi*radius. Thus 2*pi*4 = 8*pi (Option D).
Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 4317
Location: United States (CA)
Re: In the figure above, what is the circumference of the circle with cent  [#permalink]

Show Tags

16 Jan 2018, 16:36
Bunuel wrote:

In the figure above, what is the circumference of the circle with center C?

(A) 2π
(B) 4π
(C) 5π
(D) 8π
(E) 10π

Attachment:
2017-12-19_0837_003.png

From the diagram, we see that the radius of circle C is 8 - 4 = 4; thus, the circumference is 2π x 4 = 8π.

_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

VP
Status: It's near - I can see.
Joined: 13 Apr 2013
Posts: 1356
Location: India
GMAT 1: 480 Q38 V22
GPA: 3.01
WE: Engineering (Consulting)
Re: In the figure above, what is the circumference of the circle with cent  [#permalink]

Show Tags

23 Apr 2018, 04:13
Bunuel wrote:

In the figure above, what is the circumference of the circle with center C?

(A) 2π
(B) 4π
(C) 5π
(D) 8π
(E) 10π

Attachment:
2017-12-19_0837_003.png

Radius of circle = 8 - 4 = 4

Circumference = $$2πr$$

$$2*4*π$$

$$8π$$

(D)
_________________

"Do not watch clock; Do what it does. KEEP GOING."

Re: In the figure above, what is the circumference of the circle with cent &nbs [#permalink] 23 Apr 2018, 04:13
Display posts from previous: Sort by