Correct Answer - Option 1 : 2 : 3
Given:
We have to find the ratio of diagonals of a heptagon and a nonagon.
Concept Used:
Number of sides of a heptagon is 7 and the number of sides of a nonagon is 9
Number of diagonals of a polygon with side ‘n’ is {n(n – 3)}/2
Calculation:
Number of diagonals of a heptagon = {7 × (7 – 3)}/2
⇒ 14
Number of diagonals of a nonagon = {9 × (9 – 3)}/2
⇒ 27
The ratio of diagonals of a heptagon and a nonagon is 14 : 27
⇒ 2 : 3
∴ The ratio of diagonals of a heptagon and a nonagon is 2 : 3
