Draw a regular hexagon

Author: Robert Simon
Date Of Creation: 23 June 2021
Update Date: 1 July 2024
Anonim
How to draw a regular hexagon knowing the length of one side
Video: How to draw a regular hexagon knowing the length of one side

Content

A regular hexagon or hexagon has six equal sides and six equal angles. You can draw a perfect regular hexagon with a ruler and compass. A somewhat rougher version with a round object and a ruler and of course one freehand with only a pencil. If you want to know how to draw a regular hexagon in different ways, all you have to do is follow the following steps.

To step

Method 1 of 3: First Method: Draw a perfect hexagon with a compass

  1. Draw a circle with a compass. Fold the legs of the compass apart as far as needed for the size of the hexagon you want to draw. Now place the sharp point of the compass in the middle of your paper and draw a circle on your paper with the pencil side, by turning the compass.
    • Sometimes it is easier to first draw a semicircle in one direction, go back to the starting point, and then draw a semicircle in the other direction.
  2. Now take the sharp point of your compass out of the paper and place it on the circle you just drew. Do not change the setting of your compass.
  3. Now turn your compass so that you put a mark on the circle you just drew. Remember that you cannot change the setting of your compass, the angle must remain the same.
  4. Now move the sharp point of your compass to the line you have placed on your circle, exactly at the intersection.
  5. Now put a second indent. Always put the lines in the same direction. If you went clockwise, clockwise. If you went counterclockwise, counterclockwise.
  6. Put the last four dashes. You should end where you started. If this is not the case, your compass may not have remained in the same position all the time.
  7. Connect the points with a ruler. The six places where you have drawn lines on the circle with your compass are the angular points of your hexagon. Use a pencil and ruler to connect each point to its neighbor with a straight line.
  8. Now erase all auxiliary lines. So, the circle and all the dashes you put to indicate the vertices. When you erase all the guides, you should be left with your perfect, regular hexagon.

Method 2 of 3: Second Method: Draw a rough hexagon with a round object and a ruler

  1. Draw a circle by running a pencil along a glass placed in the center of your paper. You can also use other round objects for this, such as a cup, a glass jar or a saucer. It is important that you use a pencil, because you will erase this line later.
  2. Draw a horizontal line through the center of your circle. You can use a ruler, book or anything else with a straight edge for this. If you have a ruler, you can find the center by looking where the circle is widest and dividing that value by two.
  3. Draw an X over the halved circle, dividing it into six equal pieces. Since you already have a line running through the center of the circle, the X will have to be wider than it is high for the parts to be the same size. Think of it as a cake that you divide into six equal pieces.
  4. Now make triangles from all six parts. You do this by drawing a straight line with a ruler connecting the other two sides of the triangle. Repeat this six times.
  5. Erase your guides. The guides are the circle and the three lines that divided your circle into six equal pieces.

Method 3 of 3: Method Three: Draw a free, rough hexagon using only a pencil

  1. Draw a horizontal line. To draw a straight line without a ruler, draw a start and end point for the line. Then place your pencil on the starting point and draw the line, keeping a close eye on the ending point. You can decide for yourself how long you make the line.
  2. Draw two diagonal lines from both end points of your horizontal line. The left diagonal deviates to the left, the right to the right. These lines form a 120 degree angle with your horizontal line. All three lines must be the same length.
  3. Draw two more diagonal lines starting at the end points of the first two diagonals. You let them mirror the first two. So, where the first two diagonals were facing out, these two are facing in. Do not let these two diagonals approach each other closer than the length of the first horizontal line. Keep making sure that all lines are the same length.
  4. Now draw another horizontal line connecting the last two diagonals, preferably parallel to your first horizontal line. Now your regular hexagon is done.

Tips

  • In the compass method, if you connect every other point, instead of all six, you are left with an equilateral triangle.
  • The pencil point of your compass should always be sharp so that you can work precisely and avoid inaccuracy errors

Warnings

  • A compass has a sharp point; be careful to avoid injury.

Why This Works

  • Each method works to create a regular hexagon by drawing 6 equilateral triangles whose sides are the same length as the circle's radius. The six rays are all the same length and the six connecting lines are as long as the radius, because you have not changed the angle of the compass.Since the six triangles are all equilateral, the angles between the rays (in the center of the circle) are all 60 degrees. The angles on the outside of the hexagon are therefore 120 degrees.

Necessities

  • Paper
  • Pencil
  • Ruler
  • A compass or a glass / cup
  • An underlay for underneath your paper, so that you can firmly place the point of the compass.
  • Eraser