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A circle passes through the center of a larger circle, as shown above.

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A circle passes through the center of a larger circle, as shown above.  [#permalink]

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New post 02 Sep 2016, 05:54
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A circle passes through the center of a larger circle, as shown above. The circumference of the larger circle is how many times the circumference of the smaller circle?

A. √2
B. 2
C. 3
D. 4
E. 9

Attachment:
T6105.png
T6105.png [ 6.82 KiB | Viewed 2158 times ]

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Re: A circle passes through the center of a larger circle, as shown above.  [#permalink]

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New post 02 Sep 2016, 06:15
Say R1 and r2 are the radii of the larger circle and smaller circle respectively.

R1 = 2r2

ratio of circumference of the larger to smaller circle is = 2*pie*R1/ 2*pie*r2 => 2

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Re: A circle passes through the center of a larger circle, as shown above.  [#permalink]

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New post 02 Sep 2016, 08:23
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Top Contributor
Bunuel wrote:
Image
A circle passes through the center of a larger circle, as shown above. The circumference of the larger circle is how many times the circumference of the smaller circle?

A. √2
B. 2
C. 3
D. 4
E. 9

Attachment:
T6105.png


As we can see, (the diameter of the smaller circle) = (radius of larger circle)
If we let the diameter of the smaller circle = 1, then the radius of larger circle = 1
This means the DIAMETER of the larger circle = 2

Now let's find the CIRCUMFERENCE of each circle

Formula: circumference = (diameter)(pi)
Circumference of small circle = (1)(pi)
Circumference of larger circle = (2)(pi)

So, the circumference of the larger circle is 2 TIMES the circumference of small circle.

Answer:

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A circle passes through the center and edge of a larger circle, as  [#permalink]

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New post 11 Mar 2018, 09:42
Attachment:
12.png
12.png [ 6.75 KiB | Viewed 593 times ]

A circle passes through the center and edge of a larger circle, as shown above. The diameter of the smaller circle is how many times the radius of the larger circle?

a. 1/4

b. 1/2

c. 1

d. 2

e. 4
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Re: A circle passes through the center and edge of a larger circle, as  [#permalink]

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New post 11 Mar 2018, 10:06
Tridhipal wrote:
Attachment:
12.png

A circle passes through the center and edge of a larger circle, as shown above. The diameter of the smaller circle is how many times the radius of the larger circle?

a. 1/4

b. 1/2

c. 1

d. 2

e. 4



Not a 700+ level question in any way..

You have to be just careful about which circle's dia and which circle's radius..
Clearly the Dia of SMALLER circle=radius of BIGGER circle..
So RATIO =1

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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


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Re: A circle passes through the center of a larger circle, as shown above.  [#permalink]

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New post 11 Mar 2018, 11:10
Tridhipal wrote:
Attachment:
12.png

A circle passes through the center and edge of a larger circle, as shown above. The diameter of the smaller circle is how many times the radius of the larger circle?

a. 1/4

b. 1/2

c. 1

d. 2

e. 4


Merging topics. Please search before posting. Thank you.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Re: A circle passes through the center of a larger circle, as shown above. &nbs [#permalink] 11 Mar 2018, 11:10
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