Bunuel wrote:

If A and C are points in a plane, C is the center of circle O, and the length of line segment AC is x, does point A lie outside circle O ?

Notice that point A will be outside the circle if the radius of the circle is less than x (the distance between the center of the circle and point A). So, the question basically asks whether \(r<x\).

(1) The circumference of circle O is xπ --> \(2\pi{r}=x\pi\) --> \(2r=x\) --> \(x>r\). Sufficient.

(2) The area of circle O is xπ --> \(\pi{r^2}=x\pi\) --> \(x=r^2\). If \(x=4\) and \(r=2\) then the answer is YES but if \(x=\frac{1}{4}\) and \(r=\frac{1}{2}\) then the answer is NO. Not sufficient.

Answer: A.

Hi

BunuelDo we have point circle concept in Gmat?

if so, From (1) 2r=x=0 could also be a case and so point lie on circle. And this may become insufficient.

From (2) It's anyways eliminated even without the concept of point circle

From (1) & (2) we still have two cases so It may lead to "E"

From

OG:

This is how they defined

Line segment: ( It was not mentioned if P & Q should be distinct.)

The part of the line from P to Q is called a line segment. P and Q are the endpoints of the segment. The notation PQ is used to denote line segment PQ and PQ is used to denote the length of the segment.

This is how

circe is defined: (The set can also have just one element?)

A circle is a set of points in a plane that are all located the same distance from a fixed point.

Please clear my confusion

Thanks in advance

_________________

GA800