How to enter a polygon in a circle

How to enter a polygon in a circle

Articles Hits: 70

The task to enter in a circle quite often can nonplus a polygon the adult. The child school student needs to explain its decision therefore parents go to surfing on a world wide web in search of the decision.

Instruction

1. Draw a circle. Put a compasses needle on the party of a circle, at the same time do not change radius. You carry out two arches crossing a circle, turning compasses to the right and to the left.

2. Move a compasses needle on a circle to a point of intersection of an arch with it. Again you turn compasses and you draw two more arches, crossing a circle contour. You repeat this procedure before crossing with the first point.

3. Take a ruler and connect all received points. Solution first is found. Use this method if you need to enter a regular polygon in a circle.

4. Draw a circle. Draw diameter through its center, lines has to be horizontal. Construct a perpendicular to diameter through the center of a circle, receive the vertical line (SV, for example).

5. Halve radius. Note this point on the line of diameter (designate it A). Construct a circle with the center in a point And yes radius the EXPERT. When crossing with a horizontal line you receive one more point (D, for example). As a result the piece of CD will be the party of a pentagon which is required to be entered.

6. Postpone semi-circles which radius is equal to CD, on a circle contour. Thus, the initial circle will be divided into five equal parts. Connect points a ruler. The task of description of a pentagon in a circle is carried also out.

7. Further the decision on description in a square circle is described. Draw a line of diameter in a circle. Take a protractor. Put it in diameter point of intersection with the party of a circle. Dissolve compasses at radius length.

8. Carry out two arches before crossing with a circle, turning compasses in one and other party. Rearrange a compasses leg in an opposite point and carry out two more arches by the same solution. Connect the received points.

9. Carry out a piece one more from edge of a circle to other edge through the center of a circle so that one more diameter turned out. As a result in the drawing two mutually perpendicular diameters will be represented. At connection of their ends the inscribed in a circle square turns out.

10. Square diameter, divide into two and take a root. As a result receive the party of a square which will easily fit into a circle. Dissolve compasses at this length. Put its needle on a circle and draw the arch crossing one party of a circle. Move a compasses leg to the received point. Again carry out an arch.

11. Repeat the procedure and draw two more points. Connect all four points. It is easier way to enter a square in a circle.

12. Consider a task of description of an equilateral triangle in a circle. Draw a circle. Take a point randomly on a circle - it will be triangle top. From this point, keeping compasses solution, carry out an arch before crossing with a circle. It will be the second top. In the similar way construct the third top of it. Connect points a ruler. A solution is found.

Author: «MirrorInfo» Dream Team

Print