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Q.

Which of the following is the number of diagonals in an octagon?


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a

20

b

18

c

16

d

14 

answer is A.

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Detailed Solution

Given, an octagon
The number of sides in an octagon is n = 8.
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
= 8(8−3) 2  
Simplifying,
= 8×5 2 = 40 2 =20  
Hence, the number of diagonals of an octagon is 20.
Therefore, option 1 is correct.
 
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Which of the following is the number of diagonals in an octagon?