Question

to be most efficient, what should your next step be? draw an arc centered at a, with a radius equal to the radius of the circle, that starts and ends at points on the circle. connect points a, c, and e with line segments. draw an arc centered at e, with a radius equal to the diameter of the circle, that starts and ends at points on the circle.

Explanation:

To construct a regular hexagon in a circle, after getting some key - points on the circle (assuming points are obtained in a previous step), the next logical step is to connect the points that will form the sides of the hexagon. Connecting points \(A\), \(C\), and \(E\) (and other necessary points not shown completely in the problem but assumed to be part of the construction) with line segments will start forming the regular hexagon. Drawing arcs with wrong radii as described in other options is not the next efficient step for hexagon - construction.

Answer:

Connect points \(A\), \(C\), and \(E\) with line segments.