How to Draw a Heptagon Easy

Tip 1: How to draw a heptagon

Tip 1: How to draw a heptagon

If necessary, build the right one heptagon usually there are small complications. However, if you do not need an ideal drawing accuracy and an error of 0.2% is not critical for you, you can easily build such a polygon using a compass and a conventional ruler.

You will need

• - compasses;
• - ruler;
• - a pencil.

Instructions

1

To start the construction, draw an arbitrarycircle and mark its center with the letter O. Then draw the radius of this circle in any direction. The point of intersection of the radius with the circle is designated by the letter A. After that, move the compass to point A and draw a circle or arc of the same radius as the original circle (OA). This arc will intersect the original circle at two points. Label them with the letters B and C.

2

Connect the two points obtained. In this case, the segment BC intersects the radius OA. The point of their intersection is designated by the letter D. The resulting segments BD and DC will be equal to each other and each of them will be approximately equal to the side of the right heptagona, which can be inscribed in the original circle.

3

Measure the distance BD (or DC) with the compass and, starting from any point on the circle, postpone this distance six times. Then connect all seven points. So you get heptagon, which with a little error can be called correct. All its sides and angles will be approximately equal.

4

There is another way to build the right one heptagona. First, draw an arbitrary circle and draw two mutually perpendicular diameters of this circle. Call them AB and CD. Then one of the diameters (for example, AB) is divided into seven equal parts. For example, if the length of your diameter is 14 cm, the length of each part will be 2 cm. As a result, six marks should appear on this diameter.

5

Then move the compasses to one endof the given diameter (for example, B) and draw from this point an arc whose radius will be equal to the diameter of the original circle (AB). After this, extend the second diameter (CD) to the intersection with the arc. The resulting point is designated by the letter E.

6

Now, from the point E, draw the lines passing throughonly through even or only through odd divisions on the diameter AB. For example, through the second, fourth and sixth divisions. The intersection points of these lines with the circle will be three of the seven vertices of your future polygon. Label them with F, G and H. The fourth vertex is point A (in the event that you ran straight through even marks) or point B (if one of the lines passes through the closest cut to point A).

7

To find the fifth, sixth and seventh vertices,draw from the points F, G and H straight lines, strictly perpendicular to the diameter AB. Those points in which these lines intersect the opposite side of the circle will be the three vertices sought. To complete the build, you will need to connect all seven vertices.

Tip 2: How to draw a regular heptagon

How many entertaining assignments sometimes receiveschoolchildren in geometry. And very often the solution of geometric problems for the construction of various figures is reflected in the drawing. For example, to build the right one heptagon with the help of a protractor will not be a schoolchild for work, but only a ruler and a compass can accomplish the task with everyone.

You will need

• A tethered sheet in a cage, ruler, compasses and a pencil.

Instructions

1

Draw two perpendicular lines (the X and Y coordinate axes) along the ruler. It's easy to do on a tetrad sheet in a cage. The point of intersection of the straight lines will serve as the center of the future correct heptagona. Now draw a circle with a diameter that is a multiple of seven, for the convenience of constructing the shape. Accordingly, the radius of the circle should be a multiple of three and a half. Use a radius equal to seven cells or seven centimeters. The points of intersection of the circle and the vertical diameter are designated by the letters A and B.

2

Divide the vertical diameter of the resultingcircle into seven equal parts. If you used to build a radius of seven cells - the seventh part of the diameter will be equal to two cells. If the radius of your circle is equal to seven centimeters - one seventh of the diameter will be equal to two centimeters (four cells). Number the vertical divisions vertically from top to bottom.

3

From point B (point №7) draw an arc with a radius,equal to the diameter of the constructed circle (equal to AB). The point of intersection of the arc with the horizontal axis X is designated by the letter C. Now from the point C through even divisions of the vertical diameter (points Nos. 2, 4 and 6), draw the rays. Crossing the circle, the rays form the tops heptagonand E, F, D.

4

Using the ruler through the vertices E, F, Ddraw lines parallel to the X axis. Label the intersection points of the lines with the opposite part of the circle with the letters K, L, M. From the ruler, connect vertices D, F, E, A, K, L, M. one by one. Correct heptagon Ready!

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Source: https://lovestheteam.com/science/61410-sovet-1-kak-nachertit-semiugol-nik.html

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