You will need
• A sheet of paper, compass, ruler, pencil
Instruction
1
With a compass draw on paper a circle of the desired diameter with the center at point O. the Construction of a regular five-pointed star represents a task similar to the writing in the circle a regular Pentagon.
2
Swipe through the circumference of diameter AB, placing it horizontally.
3
Restore the perpendicular CD to the line AB at the point O. To do this, draw circles with centers at the points A and b with the same radius, and then draw a straight line through the points of intersection of these circles.
4
Similarly, divide the interval AO point E in half. For dividing the cut the swipe the circle of the same radius with centers at points A and C. Now connect the points of intersection of the circle line - it will divide the segment exactly in half AO.
5
Swipe from point E the circle of radius CE and find the point F of intersection with the segment AB. Segment CF is the desired segment equal to the side of the inscribed Pentagon.
6
From point C, located at the top of the circle, apply consistently around the entire circumference level so that they are arranged at a distance from each other equal to CF. The circumference will be divided into five equal parts. The exact division is possible only with careful building by using a good compass.
7
Join the circle of the five points in such a way to make a five-pointed star. For this you will need a ruler.
8
If necessary, auxiliary lines inside the circle to erase with an eraser, so they do not spoil the look of a star. You can also delete all the other strokes used in constructing the figure.