Inside a regular polygon, draw the same number of equal circles as the side of the polygon,each circle touching one side of the polygon and two of the other circles

The technique is shown in figure 6

• Draw bisectors of all the angles of the polygon, meeting at O, thus dividing the polygon into the same number of triangles.
• In each triangle inscribe a circle.

Figure 6.  Drawing the same number of equal circles, in a given polygon , as the side of the polygon

Figure 7  shows the technique for drawing the same number of equal circles as the side of the polygon inside a regular polygon, each circle touching two adjacent sides of the polygon and two of the other circles.

• Draw the perpendicular bisectors of the sides of the polygon to obtain same number of  quadrilaterals as the  number of sides of the polygon.
• Inscribe a circle inside each quadrilateral.

Figure 7. drawing the same number of equal circles as the side of the polygon inside a regular polygon