How many diagonals can be drawn in regular polygon with 9 sides?

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DSSSB Pharmacist 2014: Previous Year Paper
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  1. 27
  2. 36
  3. 30
  4. None of these

Answer (Detailed Solution Below)

Option 1 : 27

Detailed Solution

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Given:

Regular polygon with 9 sides

Formula used:

The number of diagonals in a polygon is calculated using the formula:

D = n(n - 3) / 2

Where, n = number of sides of the polygon

Calculation:

For a polygon with 9 sides, n = 9

D = n(n - 3) / 2

⇒ D = 9(6) / 2

⇒ D = 54 / 2

⇒ D = 27

∴ The number of diagonals that can be drawn in a regular polygon with 9 sides is 27.

Hence, the correct option is 1) 27.

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