Monday, June 10, 2013

How to Make an Octagon

Shapes play a vital part in mathematics. In geometry, the enclosed shapes are called as polygons. The polygons are classified according to its sides. Any polygon with eight sides is said be an octagon. In this article, we shall learn how to make a regular octagon. Also we shall learn how to make irregular octagon.

How to make a regular octagon:


  • Step 1: Initially make a vertical line AB.

Line- How make an octagon 
  • Step 2: We know that the octagon has interior angle of 135°. Using protector, mark 135° on both sides of the line AB and mark it as C and D. Make the lines from A to C and B to D. These lines should be in similar length of AB.
 Mark the angle- How make an octagon
  • Step 3: From C take 135° and mark it as E. And from D, take 135° and mark it as F. Make the line from C to E and D to F. The length of the line must be similar to AC and BD.
Mark 135degree- How make an octagon 
  • Step 4: From E take 135° and mark it as G. And from F, take 135° and mark it as H. Make the line from E to G and F to H. The length of the line must be similar to CE and DF.
Mark G and H- How make an octagon 
  • Step 5: Now draw a line from G to H.
Required Octagon- How make an octagon 
   Finally the regular octagon can be obtained as shown in the figure. This is how we can make a regular octagon.

How to make irregular octagon shape:


   An octagon is a shape with 8 sides. An eight sided enclosed shape forms an irregular polygon. Now let us draw an irregular octagon.
  • Step 1: Make a line and name it as AB.
Make irregular hexagon- line 
  • Step 2: Make another line from one end (A or B).
Make irregular hexagon- Mark C and D 
  • Step 3: Similarly draw eight lines.

Between, if you have problem on these topics Trend Line Definition, please browse expert math related websites for more help on syllabus for samacheer kalvi.

Note: The eighth line must form an enclosed figure. The important point to remember while drawing an octagon is that it should have eight sides enclosed. The length of the side is not a matter for irregular octagon
Make irregular hexagon 
   You can obtain an irregular octagon as shown in the figure. The irregular octagon can be of any form. But it should have eight sides.

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