How many diagonals will be there in a 12 sides regular polygon ?


Answer:

54

Step by Step Explanation:
  1. A Polygon's diagonals are line segments from one corner to another, but not the sides.
    The number of diagonals of an n-sided polygon is given by  
    n(n-3)
    2
     .
  2. Number of sides of the regular polygon in question, n = 12
  3. Number of diagonals =  
    n(n-3)
    2
     
    =  
    12(12-3)
    2
     
    =  
    108
    2
     
    = 54
  4. Therefore, the number of diagonals in a 12 sides regular polygon will be 54.

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