Facts About Polygon

This article deals with the definition and the facts of the polygons.The polygons are closed two-dimensional figure made up of three or more than three line segments. on basic of the side, the polygon are classified as follows

          They clssify the polygons are,

                          1. Triangle (three sides)

                          2. Quadrilateral (four sides)

                          3. Pentagon (five sides)

                          4. Hexagon (six sides)

                          5. Heptagon (seven sides)

                          6. Octagon (eight sides)

                          7. Nonagon (nine sides)                         

                          8. Decagon (ten sides)

 

Facts about the regular polygons:

 

Fact about Triangle

  • It is the three-sided polygon
  • Total Interior angle of the triangle is 180 degrees.
  • Total   Exterior angle of the triangle is 360degrees.
  • Each Interior angle is 60 degrees
  • Each exterior angle is 120 degrees

Fact about Quadrilaterals

  •  It is the four -sided polygon
  •  Total Interior angle of the triangle is 360 degrees.
  •  Total   Exterior angle of the triangle is 360degrees.
  •  Each Interior angle is 90 degrees
  •  Each exterior angle is 90 degrees

Fact about pentagon

  •  It is the five -sided polygon
  •  Total Interior angle of the triangle is 540degrees.
  •  Total   Exterior angle of the triangle is 360degrees.
  •  Each Interior angle is 108 degrees
  •  Each exterior angle is 72 degrees

Fact about hexagon

  •  It is the six -sided polygon
  •  Total Interior angle of the triangle is 720 degrees.
  •  Total   Exterior angle of the triangle is 360degrees.
  •  Each Interior angle is 120 degrees
  •  Each exterior angle is 60degrees

Fact about octagon

  •  It is the 8 -sided polygon
  •  Total Interior angle of the triangle is 1080 degrees.
  •  Total   Exterior angle of the triangle is 360degrees.
  •  Each Interior angle is 135 degrees
  •  Each exterior angle is 45 degrees

 

Model problems to fact about polygons:

 

Problem 1:

Find the Interior angle of pentagon using the formula.

Solution:

       The angle that formed inside the pentagon is said to be interior angle of the pentagon

       Formula for calculating the interior angle of the regular polygons:

Sum of Interior angle of the regular polygons = (n-2) 180 degrees

       Here n is the number of the polygon.

       Here it is pentagon, n=5

Sum of Interior angle of the pentagon polygon = (5-2) 180 degrees

                                                                           = (3) (180)

                                                                           = 540 degrees.