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circular area and points X & Y

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circular area and points X & Y

by LevelOne » Fri Jul 03, 2009 5:54 am
A certain circular area has its center at point P and has radius 4, and points X and Y lie in the same plane as the circular area. Does point Y lie outside the circular area?

(1) The distance between point P and point X is 4.5.
(2) The distance between point X and point Y is 9.

Can someone explain, pls? thanks
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Source: — Data Sufficiency |
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Re: circular area and points X & Y

by ssmiles08 » Fri Jul 03, 2009 6:12 am
LevelOne wrote:A certain circular area has its center at point P and has radius 4, and points X and Y lie in the same plane as the circular area. Does point Y lie outside the circular area?

(1) The distance between point P and point X is 4.5.
(2) The distance between point X and point Y is 9.

Can someone explain, pls? thanks
IMO C.

1) insufficient b/c it gives us no information on point Y.
2) insufficient b/c it gives us no information on whether any of the two points are located inside or outside the circle.

together:

we know point x is outside the circle, (distance of 0.5 away from the point ON the circle).

xy = 9

the diameter of the circle is 8, which means the largest distance covered and the point y can still be covered inside the circle is 8.

4.5 + 4 = 8.5 (can be the maximum distance allowed for xy for y to still be a part inside the circle).

Therefore point y will lie outside the circle.
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by LevelOne » Fri Jul 03, 2009 6:18 am
OA is C, thanks
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