What property of a regular hexagon makes this construction correct?

Step 1
: Draw a circle. Mark a point on it. Set the compass to the length of the radius.

Step 2
: Starting from the point on the circle, draw an arc that intersects the circle and mark the point of intersection.

Step 3
: From that point of intersection, draw another arc that intersects the circle.

Step 4
: Repeat until you have made 6 arcs.

Step 5
: Connect the 6
points to form a regular hexagon.