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.

Note

Avoid accidental changing the distance between the legs of a compass. In this case, the hexagon may turn out wrong.

Useful advice

It makes sense to make a build with a compass with a well-sharpened stylus. So the build will be the most accurate.

# Advice 2: How to draw a regular hexagon

**A hexagon**is called a special case of polygon - shapes formed by the set of points of a plane bounded by a closed polyline. Regular hexagon (a hexagon), in turn, is a special case - a polygon with six equal sides and equal angles. This figure is remarkable that the length of each of its sides equal to the radius described around the figure of the circle.

You will need

- a pair of compasses;
- - the range;
- pencil;
- - a sheet of paper.

Instruction

1

Select the length of the sides of the hexagon. Take a compass and set the distance between the end of the needle located on one of its legs, and the stylus end located on the other leg equal to the length of a side of a drawn figure. You can use the ruler or choose a random distance, if the moment is irrelevant. Fix the leg of a compass with a screw, if possible.

2

Draw a circle with a compass. The selected distance between the legs will be the radius of the circle.

3

Break the circle dots into six equal parts. These points will be the vertices of the angles of the hexagon and, respectively, ends of line segments representing the sides of it.

4

The leg of a compass with the needle set at an arbitrary point located on the line of the delineated circle. The needle should just pierce the line. The accuracy of the installation of a compass directly depends on the accuracy of constructions. Draw the compass's arc so that it is crossed at two points a circle is drawn first.

5

Move the leg of a compass with a needle in one of the points of intersection of arcs drawn with the original circle. Will watertite another arc that also crosses the circumference at two points (one of them coincides with the point of the previous location of the needle of a compass).

6

Similarly move the needle of the compass and vycherchivaya arc four more times. Move the compasses with a needle in one circumferential direction (always clockwise or counterclockwise). As a result, should be identified six points of intersection of the arcs with the original built of a circumference.

7

Draw a regular hexagon. In pairs successively connect the segments obtained in the previous step has six points. Vycherchivaya cuts with a pencil and a ruler. The result is a regular hexagon. After the build, you can erase the auxiliary elements (arc and circle).

Note

It makes sense to choose a distance between the legs of a compass to the angle between them was equal to 15-30 degrees, or in the exercise of the constructions of this distance can be easily lured away.