Advice 1: How to inscribe in a circle a Pentagon

A Pentagon is a geometric figure with five angles and five sides. The greatest interest is in the geometry of the regular Pentagon (the Pentagon), the angles and sides equal. It can be inscribed in a circle, and to describe around it. It is very important to be able to do a similar build without the use of the protractor, the usual improvised means. Due to the known properties of a circle and a regular Pentagon to inscribe the Pentagon in a circle is possible only by using one of a compass.
How to inscribe in a circle a Pentagon
You will need
  • Compasses, pencil, sheet of paper
Instruction
1
Take a sheet of paper and put it in the middle point O. It will be the center of the circle. Set the distance of the legs of a compass equal to the radius of the circle. Swipe a circle with a specified radius.
How to enter <b>circle</b> the Pentagon
2
Anywhere on the arc of a circle place the point M. It will enter the first vertex of a Pentagon. Through the point M and the guide diameter of the circle MN. To build a straight line, use any available object with a flat side.
How to enter <b>circle</b> the Pentagon
3
Construct another diameter perpendicular to the diameter MN. To do this, swipe the compass arcs from the points M and N with the same radius. Select the radius such that both arc crossed among themselves and with the circumferenceu at the same point. This will be the first point And the second diameter. Swipe through it and point On the line. Get the diameter AB, the perpendicular line PL.
How to enter <b>circle</b> the Pentagon
4
Find the center of the radius. For this purpose a compass with the radius of the circle, slide the arc from point b so that it crosses the circle in two points s and R. Through these points draw a straight. This video will divide the radius AT exactly half. Put a point in the intersection of the SR and IN.
How to enter <b>circle</b> the Pentagon
5
Connect the point M To the line segment. Set on the compass a distance equal to the segment MK. From point M draw a arc so that it crosses the radius AO. In place of this crossing you have to put the distance IU is equivalent to the length of one side enter the Pentagon.
How to enter <b>circle</b> the Pentagon
6
Build the remaining vertices of a Pentagon. To do this, set the distance of the legs of a compass equal to segment ME. From the first vertex of the Pentagon M swipe an arc to intersection with the circleYu. The point of intersection will be the second vertex Of F. the points obtained in turn also swipe an arc of the same radius with the intersection of the circle. Get the third vertex of the Pentagon G. similarly construct the remaining points S and L.
How to enter <b>circle</b> the Pentagon
7
Connect the resulting vertices straight lines. Inscribed in a circle, Pentagon MFGSL built.
How to enter <b>circle</b> the Pentagon

Advice 2 : How to draw a hexagon

Image of geometric shapes are used to create many games, collages, illustrations. Using the tools of photoshop, you can draw any three-dimensional shape, including, and hexagon.
How to draw a hexagon
You will need
  • Adobe Photoshop
Instruction
1
Open a new document. On the toolbar, select the Polygon Tool. On the property bar, set sides=6 and any color to suit your taste. Hold down the Shift key, draw a hexagon. Hover over a shape, click the right mouse button and click Rasterize Layer.
How to draw <strong>hex</strong>
2
Double-copy this layer (Ctrl+J) so you've got three of the hexagon. Stand on a new layer. Hold down Ctrl, click the icon with the image of a new figure to get selection. On the Toolbox, set the foreground color a darker shade. Using the Paint Bucket tool fill the hexagon. Again, go to new layer and fill the shape with a suitable shade. Thus, your hexagons are painted in different shades of one color.
3
Using the Move tool to position the hexagons as shown in the figure. In this case, consider where in your picture will be located light source. There, where the light needs to be brighter face. The dark face in the shadows.
How to draw <strong>hex</strong>
4
For layers with the hexagons, which represent the side faces, set the Opacity=50%. On the toolbar, choose the Eraser Tool. Set hardness=100% and begin carefully erasing the excess image. In order to remove the unwanted color is near the edge, you should do the following: reduce the diameter of the gum, in order not to capture extra. Move the cursor one end of edges of the hexagonand click the left mouse button. Then move the cursor to the other end, press the Shift key and again click the left key. You get a flat empty strip. Repeat this procedure as many times as it takes to remove the unwanted background around the figure.
How to draw <strong>hex</strong>
5
For layers with side return Opacity=100%.
Useful advice
When selecting colors for faces consider the location of the light source to your image

Advice 3 : 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.
How to draw a regular hexagon
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.

Advice 4 : How to draw a hexagon

At the time, drawing a regular hexagon was described by the ancient Greek Euclid. To date, however, there are other ways of constructing this geometric shape. The main principle to follow when drawing the figures of some well-known rules.
How to draw a hexagon
You will need
  • - a sheet of paper;
  • pencil;
  • a pair of compasses;
  • - the range.
Instruction
1
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.
2
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.
3
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.
4
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.
5
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.
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