You will need
- - a sheet of paper;
- a pair of compasses;
- - the range.
Note that the main rules for sketching a hexagon are the following statement: around any polygon of the correct form is possible to describe a circle, and that side of the hexagon correct form is equal to the radius of the circle described around it.
To construct a regular hexagon, provided a given side take a compass and draw a circle. The center of the circle is point O and radius R will be equal to the a side. Guide a ray from the point O to any point that lies on the circle. You get the point And that is where intersects the circle and the line.
Take a compass and making a centre in the point A, draw a tick on the circle. The radius will be equal to side A. At the intersection of the point B. Then, making a center point In, again mark the notch with the same radius. Name the point of the section S. in This way, making consistently ticks you end up with only six points. They will be the future of the vertices of the hexagon. Connect them with a line, and you have a regular hexagon given one side.
There is another way of building this shape. Mark the point A and through it, draw the cut KB. In this case KA=AB=a (i.e. the side of the hexagon). Further on the segment BK, which is equal to 2A, construct a semicircle. Its center must be at point A and let the radius equals the side of the hexagon.
A semicircle, divide into 6 parts. They should be equal. What are the points which turned out C, D, E, F, G. the center point And the rays connect each point except the last two, K and G. draw a arc of radius AB from a point In and make a notch on the segment AC. Put a point L. this point again carry out the arc with the same radius, we get a notch on the segment AD. Similarly, let's move on. Plotting points connect the lines sequentially, taking advantage of the ruler. In the end, you get a regular hexagon.