Polygon Formula:

Polygon is 2D closed shape whose all segment are straight lines which means it doesn't contain any curved line. As it's 2D closed shape not 3D shape so also doesn't contains any curved surface. 

Polygon types:

Types of polygon are
  1. Regular polygon: All the interior angles and sides are equal for this type of polygon. 
  2. Irregular polygon: All the interior angle and sides are not equal for this type of polygon. 
  3. Convex polygon: All the interior angle of this type of polygon is less than 108°.
  4. Concave polygon: One or more interior angle of this type of polygon is more than 180°.

Formulae of polygon:

If a polygon have "n" number of sides then
  • Sum of interior angle of a polygon is =(n-2)180  
  • Number of diagonal is = \frac{n(n-3)}{2} 

For regular polygon:

  • For regular polygon, the measurement of interior angle having n side is =\frac{(n-2)180}{n}
  • For regular polygon, the measurement of exterior angle having n side is =\frac{360}{n}