Question

Find the number of diagonals in a 100-gon.

Answer 1

Step-by-step explanation:

So, the total number of diagonals in any n sided polygon will be n(n−3)2. So, we can say that, for a 100 sided polygon, that is for n = 100, we get, Number of diagonals for 100 sided polygon = 100(100−3)2=50×97=4850. Hence, we can say that a 100 sided polygon will have 4850 diagonals

Answer 2

Answer:

$n \times \frac{(n - 3)}{2} \\ = 100 \times \frac{(100 - 3)}{2} \\ = 100 \times \frac{97}{2} \\ = 50 \times 97 \\ = 4850$

Step-by-step explanation:

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