Correct Answer - Option 3 : 11
GIVEN:
A polygon has 44 diagonals
Diagonals of polygon = 44
CONCEPT:
Sum of exterior angles of a regular polygon = 360°
FORMULA USED:
Number of diagonals = n(n – 3)/2
Where n = number of sides
CALCULATION:
Number of sides of the polygon:
⇒ n(n – 3)/2 = 44
⇒ n(n – 3) = 88
⇒ n2 – 3n - 88 = 0
⇒ n = 11 (rejected n = -8 as sides can't be negative)
∴ The number sides of polygon having 44 diagonals is 11.
