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AB is not a diameter of the circle.

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AB is not a diameter of the circle. [#permalink] New post   19 Sep 2018, 18:05
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AB is not a diameter of the circle.

Quantity A
Quantity B
The area of the circle
\(9\pi\)


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
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Re: AB is not a diameter of the circle. [#permalink] New post   18 Jan 2019, 16:55
if >3 were radios, A is always greater.
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Re: AB is not a diameter of the circle. [#permalink] New post   13 May 2020, 13:16
Shouldn't the answer be D?
The radius could be <3 or >3 depending on if AB is less than the diameter or greater than the diameter of the circle.
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Re: AB is not a diameter of the circle. [#permalink] New post   13 May 2020, 15:51
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barriosej wrote:
Shouldn't the answer be D?
The radius could be <3 or >3 depending on if AB is less than the diameter or greater than the diameter of the circle.


The Diameter has to run through he center of the circle; the radius has to originate at the center of the circle. The diameter is the LONGEST line that can extend through a circle.
If there's a straight line extending through the circle and it's not the diameter, then we know that line is smaller than the diameter.
In our case, this smaller line (AB) is 6, and half of that line is 3. Since this line isn't the actual diameter, and the real diameter is greater than 6, and the real radius is greater than 3
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Re: AB is not a diameter of the circle. [#permalink] New post   13 May 2020, 15:53
7jdjones7 wrote:
barriosej wrote:
Shouldn't the answer be D?
The radius could be <3 or >3 depending on if AB is less than the diameter or greater than the diameter of the circle.


The Diameter has to run through he center of the circle; the radius has to originate at the center of the circle. The diameter is the LONGEST line that can extend through a circle.
If there's a straight line extending through the circle and it's not the diameter, then we know that line is smaller than the diameter.
In our case, this smaller line (AB) is 6, and half of that line is 3. Since this line isn't running through the center of the circle, we know this line is smaller than the actual diameter, and therefore the real diameter is greater than 6, and the real radius is greater than 3


oh duh, for some reason the fact that AB cannot be greater than the diameter just occurred to me. one of those days.
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Re: AB is not a diameter of the circle. [#permalink] New post   13 May 2020, 15:58
barriosej wrote:
7jdjones7 wrote:
barriosej wrote:
Shouldn't the answer be D?
The radius could be <3 or >3 depending on if AB is less than the diameter or greater than the diameter of the circle.


The Diameter has to run through he center of the circle; the radius has to originate at the center of the circle. The diameter is the LONGEST line that can extend through a circle.
If there's a straight line extending through the circle and it's not the diameter, then we know that line is smaller than the diameter.
In our case, this smaller line (AB) is 6, and half of that line is 3. Since this line isn't running through the center of the circle, we know this line is smaller than the actual diameter, and therefore the real diameter is greater than 6, and the real radius is greater than 3


oh duh, for some reason the fact that AB cannot be greater than the diameter just occurred to me. one of those days.


Hahaha it's all good, it happens to everyone! It's always the little details that'll get you
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Re: AB is not a diameter of the circle. [#permalink] New post   12 Sep 2021, 06:56
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: AB is not a diameter of the circle. [#permalink]
12 Sep 2021, 06:56
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