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REGULAR POLYGONS
Drawing regular polygons inscribed in a circumference
<ul><li>Regular Hexagon and Equilateral Triangle </li></ul><ul><li>The regular hexagon and equilateral triangle are drawn ...
<ul><li>Regular Octagon and Square </li></ul><ul><li>The regular octagon and square are drawn using the same technique.  <...
<ul><li>Regular Pentagon </li></ul><ul><li>The regular pentagon can be drawn by following the steps below: </li></ul><ul><...
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Regular Polygons

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Regular Polygons

  1. 1. REGULAR POLYGONS
  2. 2. Drawing regular polygons inscribed in a circumference
  3. 3. <ul><li>Regular Hexagon and Equilateral Triangle </li></ul><ul><li>The regular hexagon and equilateral triangle are drawn using the same technique: </li></ul><ul><li>First, draw a circle of a given radius. </li></ul><ul><li>Second, using the same radius to mark off arcs around the circumference of the circle. </li></ul><ul><li>Connect consecutive marks to form a regular hexagon. </li></ul><ul><li>Connect every second mark to form an equilateral triangle. </li></ul>
  4. 4. <ul><li>Regular Octagon and Square </li></ul><ul><li>The regular octagon and square are drawn using the same technique. </li></ul><ul><li>First, draw a circle of a given radius. </li></ul><ul><li>Second, draw any diameter of the circle. </li></ul><ul><li>Third, draw another diameter that is perpendicular </li></ul><ul><li>to the first diameter. </li></ul><ul><li>Finally, bisect each of the right angles formed by the intersection of the diameters. </li></ul><ul><li>Connect the endpoints of all four diameters in order around the circle to form the regular octagon. </li></ul><ul><li>Connect every second endpoint to form a square. </li></ul>
  5. 5. <ul><li>Regular Pentagon </li></ul><ul><li>The regular pentagon can be drawn by following the steps below: </li></ul><ul><li>Draw a diameter AB. </li></ul><ul><li>Construct a perpendicular to AB that intersects circle at P. </li></ul><ul><li>Find midpoint of BC and label it D. </li></ul><ul><li>Place point of compass at D and open pencil end to meet point P. </li></ul><ul><li>Draw arc from P to diameter AB, meeting AB at point E. </li></ul><ul><li>Place point of compass at P and open pencil end to meet point E. </li></ul><ul><li>Use this compass setting to mark off arcs around the circle. </li></ul><ul><li>Connect marks on circle to form regular pentagon. </li></ul>

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