The correct pentagon is a polygon at which all five parties and all five corners are equal among themselves. Around it it is easy to describe a circle. To construct a pentagon and this circle will help.
Instruction
1. First of all it is necessary to construct compasses a circle. The center of a circle let coincides with O point. Carry out symmetry axes perpendicular each other. With a circle put the end of V to a point of intersection of one of these axes. This point will be top of future pentagon. In a point of intersection of other axis with a circle arrange a point of D.
2. On a piece of OD find the middle and note in it a point And. After that it is necessary to construct compasses a circle with the center in this point. Besides, it has to pass through a point of V, that is, with a radius of CV. Designate a point of intersection of an axis of symmetry and this circle in a Century.
3. After that by means of compasses carry out a circle of the same radius, having put a needle in a point of V. With initial designate crossing of this circle as F point. This point will become the second top of future correct pentagon.
4. Now it is necessary to carry out the same circle through a point E, but with the center to F. With initial designate crossing of just carried out circle as G point. This point will also become one more of pentagon tops. The same way it is necessary to construct one more circle. Its center in G. Its point of intersection with an initial circle let will be H. It is the last top of a regular polygon.
5. At you five tops have to turn out. Just it is necessary to connect them on a ruler. As a result of all these operations you receive an inscribed in a circle correct pentagon.