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Q.

How many diagonals, a regular hexagon have?

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a

  There are nine diagonals in a regular hexagon.

b

  There are two diagonals in a regular hexagon.

c

  There are four diagonals in a regular hexagon.

d

  There are five diagonals in a regular hexagon. 

answer is A.

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Detailed Solution

We have to find the number of diagonals of a regular hexagon.
A regular hexagon is the polygon containing 6 straight sides.
Formula of number of diagonals in a polygon:
d= n n−3 2   Where, n= number of sides of a polygon.
Number of sides of a regular hexagon is 6.
Form the equation.
Number of diagonals of a regular hexagon is found by: d= n n−3 2  
Substitute n=6   and solve for d.
Therefore,
d= 6 6−3 2 ⇒ 6×3 2 ⇒9  
There are nine diagonals in a regular hexagon.
Hence, the correct option is 1.
 
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