6 Sided Polygon

6 Sided Polygon 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.