Mathematics, 27.05.2021 22:00 VeIocity
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An equilateral triangle, △ABC, has been inscribed in ⊙O. Which of the following constructions would result in the regular hexagon inscribed in ⊙O?
A. Three radii are drawn from the center of ⊙O such that each radius forms a 60° angle with each of the other two radii. The points of the radii on the circumference of ⊙O are joined in succession with the vertices of △ABC to form the regular hexagon inscribed within ⊙O.
B. Three diameters are drawn through the center of ⊙O such that each diameter forms a 30° angle with the other two. The points of the diameters on the circumference of ⊙O are joined in succession with the vertices of △ABC to form the regular hexagon inscribed within ⊙O.
C. The arc intercepted by each pair of vertices in △ABC is bisected, and these points are joined in succession with the vertices of the triangle to form the regular hexagon inscribed within ⊙O.
D. Three points are taken on the circumference of ⊙O such that any one point is equally distant from the other two. These points are joined in succession with the vertices of △ABC to form the regular hexagon inscribed within ⊙O.
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