Five-pointed star. How to draw it quickly and easily

The five-pointed star is the most revered symbol among all the peoples of the world at all times. Her images were found at the very origins of civilization, when writing was not invented yet.

The very first image of a five-pointed star, found by archaeologists, dates back to 3500 BC. It was imprinted on a clay tablet found during excavations of the Sumerian city of Uruk.

The star symbol was popular in ancient Egypt and Babylon. He was worshiped by the ancient Romans and Greeks, considering the five-pointed star as a symbol of the cycle in nature. Five corners of the star Greeks associated with the five elements of which our world was created - earth, water, air, fire and ether.

The five-pointed star is an attribute of the arms and flags of many modern states and is present on military distinctions.

But to draw this simple figure is not so simple as it might seem at first glance.

How to draw a five-pointed star without taking a pencil from the paper

The great Greek thinker and mathematician Pythagoras called the five-pointed star mathematical perfection. Indeed, this complex figure can be drawn with one broken line, without lifting the pencil from the sheet of paper and returning at the end to the same starting point from which the drawing was started.

That's it, a complex and simple at first glance figure - five-pointed star. How to draw it with one broken line, can be seen from the picture.

How to draw a star using a ruler and protractor

Now we learn how to draw the right five-pointed star. From the measuring instruments you need a ruler and protractor.

To obtain a star, it is necessary to draw lengths of the same length so that the internal angles between all five vertices of the figure are equal to 36 °. In practice this is done in the following way: an angle of 36 ° is drawn, segments of the same length are measured from its vertex, and new straight lines at an angle of 36 ° are drawn from their end points.

You can also approach the solution of the problem in a slightly different way by drawing an equilateral pentagon with vertices of angles of 106 °, and then connecting by segments its opposite angles.

If you comply with all the conditions, you will eventually get a beautiful five-pointed star. How to draw it in a simpler way, read on.

How to draw a star with a compass and protractor

Now you need the compass and protractor. As in a circle of 360 °, then in 1/5 of its part - 72 ° (360: 5 = 72). We proceed to construction.

Draw a circle using the compass. Mark on it the starting point - the top of the star and the middle of the circle. Take the protractor, align its center with the center of the circle, and along the entire length of the circle, mark the future points of the star's vertices every 72 ° along the entire length of the circle .

It will remain to connect them straight, and you will get a beautiful five-pointed star. How to draw it if there is no protractor at hand? Without it you can do without, the tools will need only a ruler and compasses.

How to draw a star with a compass and ruler

How to draw a five-pointed star with a compass? Consider option 1.

Drawing a circle. We measure its diameter with a ruler. We perform simple mathematical operations: multiply the diameter of the circle by a factor of 0.58779. The result is the required length of the chord (a straight line connecting 2 points of the curve of the line, and in our case a circle), with which we can divide the circle into 5 equal parts.

For example, the diameter of the circle is 7 cm. Multiply 7 x 0.58779 = 4.11453, round to about a dozen (since it is not possible to draw a segment of a more precise length on the paper), we get 4.1 cm. This will be the desired length of the chord.

It remains to expand and fix the legs of the compass by the given amount, and you can make notches on the circle. When you connect them, you get a five-pointed star.

How to draw a figure in another way? Consider option 2.

First, draw a regular pentagon inscribed in a circle. How to draw the correct five-pointed star based on it, shown in Figure 2.

Draw a circle with a compass. Conditionally denote its center as O. Through the point O draw a straight line - the diameter of our circle. Draw the radius of this circle so that it is perpendicular to the diameter. Point the intersection of the radius with the circle as V. To the left of the point O, set the distance equal to half the length of the radius of this circle, designate it as point A. From point A through point V, draw a semicircle before crossing with the diameter line (in the figure it is highlighted in red) and Designate it as point B. The length of the segment VB is the length of the chord with which the circle is divided into 5 equal parts. It only remains to connect the resulting points in the form of a star.