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

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Verbal Forum Moderator
Status: Greatness begins beyond your comfort zone
Joined: 08 Dec 2013
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Kudos [?]: 1061 [0], given: 88

Location: India
Concentration: General Management, Strategy
GPA: 3.2
WE: Information Technology (Consulting)
If R is the radius of a certain circle, is the area of this circle [#permalink]

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23 Oct 2017, 07:48
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Difficulty:

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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When everything seems to be going against you, remember that the airplane takes off against the wind, not with it. - Henry Ford
The Moment You Think About Giving Up, Think Of The Reason Why You Held On So Long
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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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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.

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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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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.

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

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

Math Expert
Joined: 02 Sep 2009
Posts: 42544

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

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

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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.

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 $$r > 2$$.
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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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