Which is the next step in the following construction of a regular hexagon?

circle with center p; point a is along the circles edge, an arc at point b is along the circles edge, and an arc at point c is along the circles edge.

a. connect a and b with a straightedge.
b. connect a and c with a straightedge.
c. with compass setting the same as line segment pa, place the compass at p and draw an arc above the diameter.
d. with compass setting the same as line segment pa, place the compass at c and draw an arc that intersects the circle.

With compass setting the same as line segment PA, place the compass

at C and draw an arc that intersects the circle ⇒ answer D

Step-by-step explanation:

Lets revise the step of construction a regular hexagon

1. Draw circle with center P; put point A on the circle's edge at

any place

2. With compass setting the same as line segment PA, place the

compass at A and draw an arc that intersects the circle at B

3. With compass setting the same as line segment PA, place the

compass at B and draw an arc that intersects the circle at C

4. With compass setting the same as line segment PA, place the

compass at C and draw an arc that intersects the circle at D

5. Contain with the same step of placing the compass at the previous arc and draw an arc with same distance of PA until you reach point A again, then join each arc on the circle forming the regular hexagon

The given steps are:

Circle with center P; point A is along the circles edge, an arc at point B

is along the circles edge, and an arc at point C is along the circles edge

According to the steps above, the next step is:

With compass setting the same as line segment PA, place the

compass at C and draw an arc that intersects the circle (step 4)