Question Details

What is the total number of diagonals that can be drawn in a pentagon?

Options

A

15

B

10

C

5

D

7

Show Answer

Correct Answer :

Option C

5

Solution :

The correct option is 5.

To find the total number of diagonals that can be drawn in any polygon, we can use the general formula for the number of diagonals in an n-sided polygon.

The formula for the number of diagonals of a polygon with n sides is given by:

Number of diagonals=n(n-3)2

A pentagon is a polygon with 5 sides, so we set n=5.

Substituting n=5 into the formula:

Number of diagonals=5×(5-3)2

Number of diagonals=5×22

Number of diagonals=102=5

Therefore, a pentagon has a total of 5 diagonals.

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