The document describes how to draw different regular polygons using a compass and circle. A regular polygon has equal sides and angles. Regular hexagons and equilateral triangles can be drawn by marking arcs around a circle at equal intervals and connecting the marks. Regular octagons and squares are drawn by first drawing perpendicular diameters of a circle and then bisecting the angles formed at their intersection. Regular pentagons are constructed by drawing arcs from specific points on a diameter using a compass setting based on other points and lines drawn on the circle.

3. REGULAR POLYGONS

4. • It has got equal sides and angles.
• Equilateral and equiangular.
What is a regular polygon?

6. Drawing regular polygons
inscribed in a circumference

7. Regular Hexagon and Equilateral Triangle
•The regular hexagon and equilateral triangle are drawn
using the same technique:
•First, draw a circle of a given radius.
•Second, using the same radius to mark off arcs around the
circumference of the circle.
•Connect consecutive marks to form a regular hexagon.
•Connect every second mark to form an equilateral triangle.

8. Regular Octagon and Square
The regular octagon and square are drawn using the same
technique.
•First, draw a circle of a given radius.
•Second, draw any diameter of the circle.
•Third, draw another diameter that is perpendicular
to the first diameter.
•Finally, bisect each of the right angles formed by the
intersection of the diameters.
•Connect the endpoints of all four diameters in order around
the circle to form the regular octagon.
•Connect every second endpoint to form a square.

9. Regular Pentagon
The regular pentagon can be drawn by following the steps below:
• Draw a diameter AB.
• Construct a perpendicular to AB that intersects circle at P.
• Find midpoint of BC and label it D.
• Place point of compass at D and open pencil end to meet point P.
• Draw arc from P to diameter AB, meeting AB at point E.
• Place point of compass at P and open pencil end to meet point E.
• Use this compass setting to mark off arcs around the circle.
• Connect marks on circle to form regular pentagon.

10. Regular Pentagon
The regular pentagon can be drawn by following the steps below:
• Draw a diameter AB.
• Construct a perpendicular to AB that intersects circle at P.
• Find midpoint of BC and label it D.
• Place point of compass at D and open pencil end to meet point P.
• Draw arc from P to diameter AB, meeting AB at point E.
• Place point of compass at P and open pencil end to meet point E.
• Use this compass setting to mark off arcs around the circle.
• Connect marks on circle to form regular pentagon.