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Q.

Which of the following is the number of diagonals in a heptagon?


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a

10

b

14

c

12

d

18 

answer is B.

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Detailed Solution

Given, a heptagon
The number of sides in a heptagon is n = 7.
We know that,
Number of diagonals in n sided polygon = n(n−3) 2  , where, n is the number of sides of any given polygon.
Substituting the value of n in the formula,  = 7(7−3) 2  
Simplifying,
= 7×4 2 = 28 2 =14   Hence, the number of diagonals of a heptagon is 14.
Therefore, option 2 is correct.
 
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