A certain circular area has its center at point \(P\) and has radius \(4,\) and points \(X\) and \(Y\) lie in the same

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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 \(9.\)

Answer: C

Source: GMAT Prep
Source: — Data Sufficiency |