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

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Skywalker18
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If R is the radius of a certain circle, is the area of this circle [#permalink] New post   23 Oct 2017, 07:48
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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
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Bunuel
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Re: If R is the radius of a certain circle, is the area of this circle [#permalink] New post   23 Oct 2017, 07:54
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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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Drb89
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Re: If R is the radius of a certain circle, is the area of this circle [#permalink] 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] New post   23 Oct 2017, 21:19
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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 \(r > 2\).
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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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Bunuel
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