How to construct a regular hexagon

The geometric construction is one of the important parts of learning. They form the spatial and logical thinking, as well as enable to realize a simple and natural geometric patterns. The build produced on the plane with a compass and a ruler. These tools you can build a large number of geometric shapes. While many of the figures, seemingly quite complex, built using simple rules. For example, how to construct a regular hexagon can be described in just few words.

You will need

• A compass, ruler, pencil, sheet of paper.

Instruction

1. Draw a circle. Set a certain distance between the legs of a compass. This distance will be the radius of the circle. Choose the radius so that the tracing of the circle was quite comfortable. The circle should completely fit on the sheet of paper. Too large or too small distance between the legs of a compass may cause it to change while drawing. The optimal distance at which the angle between the legs of a compass is equal to 15-30 degrees.
2. Build points are the vertices of the angles of a regular hexagon. Set the compasses, in which is fixed the needle at any point on the circle. The needle should pierce the drawn line. The more accurate the compass will be installed, the better the build. Help the arc of a circle so that it crossed the previously drawn circle. Move the needle of the compass to the intersection just drawn arcs with a circle. Draw another arc that crosses the circle. Again move the needle of the compass at the intersection of arc and circle and again draw an arc. Perform this action three more times, moving in one direction around the circumference. Total should have six arcs and six points of intersection.
3. Construct a regular hexagon. Consistently connect all six points of intersection of arcs drawn with the original circle. Connect the points with straight lines, drawn with a ruler and pencil. After the actions performed will be received a regular hexagon inscribed in a circle.