Given a circle has center at origin and radius 1 . The points $X, Y$,
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11 Aug 2025, 10:10
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Given a circle has center at origin and radius 1 . The points $\(X, Y\)$, and $\(Z\)$ lie on the circle such that the length of $\(\operatorname{arc} X Y Z\)$ is $\(\frac{2}{3} \pi\)$. What is the length of line segment $X Z$ ?
(A) $\(\sqrt{2}\)$
(B) $\(\sqrt{3}\)$
(C) \(2\)
(D) $\(2+\sqrt{3}\)$
(E) $\(2+\sqrt{2}\)$
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