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If the eight vertices of a regular octagon are given by the complex numbers $\frac{1}{x_j-2i}$ ($j=1,2,3,4,5,6,7,8$), then the radius of the circumcircle of the octagon is

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Problems involving vertices of regular polygons in the complex plane often use geometric transformations. The expression $z-c$ represents a translation of the shape so that its center is at the origin. The radius is then the modulus $|z-c|$.

Updated On: Mar 30, 2026

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The Correct Option is A

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If the eight vertices of a regular octagon are given by the complex numbers $\frac{1}{x_j-2i}$ ($j=1,2,3,4,5,6,7,8$), then the radius of the circumcircle of the octagon is

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The Correct Option is A

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