Question

what is the next step to inscribe a regular hexagon in circle o below, using a straightedge and compass? through center o, use the straightedge to draw a diameter that does not pass through point a. with the compass on point a, construct an arc of length oa intersecting the circle. with the compass on point a, stretch the width of the compass more than half the length of oa to make an arc. through center o, use the straightedge to draw five additional radii.

Explanation:

Step1: Recall hexagon - circle property

A regular hexagon inscribed in a circle has side - lengths equal to the radius of the circle. Given point \(A\) on the circle and center \(O\), \(OA\) is the radius.

Step2: Determine construction step

To inscribe a regular hexagon, we start from a point on the circle and use the radius length to mark off other vertices. So, with the compass on point \(A\), construct an arc of length \(OA\) intersecting the circle. This will give us one of the other vertices of the hexagon.

Answer:

With the compass on point \(A\), construct an arc of length \(OA\) intersecting the circle.