A circle has its center at the origin and a radius of \(1.\) The points \(X, Y,\) and \(Z\) lie on the circle such that

[M7MBA]

A circle has its center at the origin and a radius of \(1.\) The points \(X, Y,\) and \(Z\) lie on the circle such that the length of arc \(XYZ\) is \(\dfrac23 \pi.\) What is the length of line segment \(XZ?\)

A. \(\sqrt2\)
B. \(\sqrt3\)
C. \(2\)
D. \(2+\sqrt3\)
E. \(2+\sqrt2\)

Answer: B

Source: GMAT Paper Tests