General method of drawing any polygon

A more general method of drawing any polygon with a given length of edge is shown in figure 2.

• Draw AB = given length of polygon
• At B, Draw BP perpendicular & = AB
• Draw Straight line AP
• With center B and radius AB, draw arc AP.
• The perpendicular bisector of AB meets the line AP and arc AP in 4 and 6 respectively.
• Draw circles with centers as 4, 5,&6 and radii as 4B, 5B, & 6B and inscribe a square, pentagon, & hexagon in the respective circles.
• Mark point 7, 8, etc  with 6-7,7-8,etc. = 4-5 to get the centers of circles of heptagon and octagon, etc.

Figure 2 Drawing any polygon with a given length of edge

Inscribe a circle inside a regular polygon

The method of inscribing a circle inside a regular polygon is illustrated in figure 3.

1. Bisect any two adjacent internal angles of the polygon.
2. From the intersection of these lines, draw a perpendicular to any one side of the polygon (say OP).
3. With OP as radius, draw the circle with O as cente

Figure 3 Inscribing a circle inside a regular polygon