6 Sided Polygon

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A polygon is a geometric shape bounded by more than two straight lines.

For example: - Triangle is polygon of three sides, quadrilateral, square, rhombus, rectangle, parallelogram,

trapezium all are polygon of four sides similarly pentagon, hexagon are the examples of polygon or simply we

can say a polygon consists with a n number of sides where n= 3, 4, 5, 6, 7, 8, 9, … and so on.

 
Regular polygon is a geometric shape where all sides and interior angles are equal.


For example square is a regular polygon of four sides where each interior angle is 90 degrees and all the

sides are equal. Similarly equilateral triangle is also a regular polygon of 3 sides where each sides and

angles are equal.

6 sided polygon is known as Hexagon.
 
Sum of interior angles of a regular polygon= (n – 2) x 180

 
Example: - Find the sum of interior angles of a 6 sided polygon.

 
Solution: - n= 6 for a 6 sided polygon.

Therefore for a 6 sided polygon (i.e., n=6) then

Sum of interior angles of 6 sided polygon= (6 – 2) x 180 = 4 x 180 = 720 degrees.
 
Each interior angle of a polygon = (n – 2) 180 / n.

 
Example: - Find each interior angle of a 6 sided polygon.
 
Solution: - Since

  Each interior angle of a polygon = (n – 2) 180 / n.

For a 6 sided polygon, n=6 therefore
 Each interior angle of a polygon = (6 – 2) 180 / 6
                                                    = (4) 180 /6
                                                    = (4) 30
                                                    = 120.

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