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Q.

Which of the following is the number of diagonals in a polygon having 16 sides?


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a

100

b

104

c

120

d

145 

answer is B.

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Detailed Solution

Given, a polygon with 16 sides.
Number of diagonals in n sided polygon = n(n−3) 2  , where, n is the number of sides of any given polygon.
Given that the number of sides n = 16.
Substituting the value of n in the formula
=16(16-3)2
=16×132
=2082
= 104
Hence, the number of diagonals of a polygon of 16 sides is 104.
Therefore, option 2 is correct.
 
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