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If R is the radius of a certain circle, is the area of this circle

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If R is the radius of a certain circle, is the area of this circle [#permalink]

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New post 23 Oct 2017, 07:48
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  25% (medium)

Question Stats:

79% (01:05) correct 21% (01:06) wrong based on 46 sessions

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If R is the radius of a certain circle, is the area of this circle greater than the circumference of this circle?

1. 0<R<3
2. The diameter of the circle is greater than 4
[Reveal] Spoiler: OA

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Re: If R is the radius of a certain circle, is the area of this circle [#permalink]

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New post 23 Oct 2017, 07:54
Skywalker18 wrote:
If R is the radius of a certain circle, is the area of this circle greater than the circumference of this circle?

1. 0<R<3
2. The diameter of the circle is greater than 4


The question asks: is \(\pi r^2 > 2\pi r\)?
Is \(r > 2\)?

The first statement is NOT sufficient because r can be less as well as more than 2.
The second statement IS sufficient, because it says that r > 2.

Answer: B.
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Re: If R is the radius of a certain circle, is the area of this circle [#permalink]

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New post 23 Oct 2017, 21:02
Bunuel wrote:
Skywalker18 wrote:
If R is the radius of a certain circle, is the area of this circle greater than the circumference of this circle?

1. 0<R<3
2. The diameter of the circle is greater than 4


The question asks: is \(\pi r^2 > 2\pi r\)?
Is \(r > 2\)?

The first statement is NOT sufficient because r can be less as well as more than 2.
The second statement IS sufficient, because it says that r > 2.

Answer: B.


what is asked, R>2 ? or R>sqrt(2) ?

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Re: If R is the radius of a certain circle, is the area of this circle [#permalink]

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New post 23 Oct 2017, 21:19
Dineshrambalaji wrote:
Bunuel wrote:
Skywalker18 wrote:
If R is the radius of a certain circle, is the area of this circle greater than the circumference of this circle?

1. 0<R<3
2. The diameter of the circle is greater than 4


The question asks: is \(\pi r^2 > 2\pi r\)?
Is \(r > 2\)?

The first statement is NOT sufficient because r can be less as well as more than 2.
The second statement IS sufficient, because it says that r > 2.

Answer: B.


what is asked, R>2 ? or R>sqrt(2) ?


Why do you think it's \(r > \sqrt 2\)?

Given: \(\pi r^2 > 2\pi r\).

Reduce by \(\pi r\) to get \(r > 2\).
_________________

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.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Kudos [?]: 135295 [0], given: 12686

Re: If R is the radius of a certain circle, is the area of this circle   [#permalink] 23 Oct 2017, 21:19
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