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Q.

Find the number of diagonals in a Decagon.


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a

31

b

35

c

30

d

32 

answer is B.

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Detailed Solution

In a 10-sided polygon, total vertices are 10.
Now, the 10 vertices can be joined with each other by 10C2 = 45 ways
Now, there are 45 diagonals possible for a 10−sided polygon which includes its sides also. So, subtracting the sides will give the total diagonals contained by the polygon.
So, total diagonals contained within a 10-sided polygon =45−10 i.e., 35.
Hence, Option (2) is the correct answer.
  
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Find the number of diagonals in a Decagon.