**2.7-Dividing A Circle Into 12 Equal Parts**

# How to divide a circle into 12 parts

You will need

- Ruler, compass, pencil.

Instruction

Draw a circle, or find the radius of the existing circle. If the circle is not set, then simply draw it, setting a convenient distance between the legs of the compass. Do not change this distance after the circle is drawn. If it is necessary to divide an already existing circle, it is necessary to first determine its radius. To do this, draw a line intersecting a circle at two points A and B. Using a compass and a ruler, build a perpendicular to the line [A; B] dividing it into two equal parts. It will intersect the circle at points C and D. Construct a similar perpendicular to the segment [C; D]. Let it intersects the circle at points E and F. The intersection of the segments [E; F] and [C; D] will be the center of the circle. Place the compass needle at any point of the circle and move its other leg so that it is set at the point of intersection of the segments [E; F] and [C; D]. The radius of the circle is found.

Divide the circle into six parts. Place the compass needle at any point of the circle. Draw two arcs that intersect the circle at two points. The distance between the legs of the compass should be equal to the radius of the circle. In other words, it should be the same as it was installed in the previous step. Move the leg of a compass with a needle to the point of intersection of one and arcs with a circle. Again draw two arcs that intersect the circle. Move the compass leg to the following points of intersection of the arcs with a circle and build arcs until you find six points that divide the circle into six equal parts. Let it be points A, B, C, D, E, F.

Divide the circle into twelve parts. Build perpendiculars to the segments [A; B], [B; C], [C; D] dividing them into two equal parts. Let the points of intersection of the data perpendiculars with a circle be A ', B', C ', D', E ', F'. Points A, A ', B, C', C, E ', D, B', E, D ', F divide the circle into twelve equal parts.

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**Images: How to divide a circle into 12 parts**

**Images: How to divide a circle into 12 parts**

**Images: How to divide a circle into 12 parts**

**Images: How to divide a circle into 12 parts**