Question: As the number of sides of a regular polygon increases, the interior angle approaches to

A ) 180^o
B ) 360^o
C ) 0^o
D ) 90^o

Steps to derive

1 Interior angle of an n-sided regular polygon = (n-2n)180^o

2 = (1 - 2n)180^o

3 As n → ∞, (1 - 2n)180^o tends to (1- 0)180^o i.e., 180^o

4 As the number of sides of a regular polygon increases, the interior angle approaches 180^o.



Hence the right answer is Option A

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