Question

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

Explanation:

To inscribe a regular hexagon in a circle, the key property is that each side equals the radius. Starting with radius OA, the next step is to use the compass at point A with width OA (radius) to draw an arc intersecting the circle—this marks the next vertex of the hexagon. Other options are irrelevant: drawing a non-A diameter doesn’t help locate vertices, stretching beyond OA/2 is for bisecting (not hexagon), and drawing five diameters is unnecessary.

Answer:

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