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In the diagram above, \(WZ = XZ,\) and circular arc \(XY\) has a center at \(W.\) If a point is selected from anywhere within this figure, what is the probability that it is selected from the shaded region?
(A) \(\dfrac{\pi-2}{\pi}\)
(B) \(\dfrac{\pi-1}{2\pi}\)
(C) \(\dfrac{2\pi-3}{4\pi}\)
(D) \(\dfrac{4\pi-1}{8\pi}\)
(E) \(\dfrac{6\pi-3}{8\pi}\)
Answer: A
Source: Magoosh
(A) \(\dfrac{\pi-2}{\pi}\)
(B) \(\dfrac{\pi-1}{2\pi}\)
(C) \(\dfrac{2\pi-3}{4\pi}\)
(D) \(\dfrac{4\pi-1}{8\pi}\)
(E) \(\dfrac{6\pi-3}{8\pi}\)
Answer: A
Source: Magoosh
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