A number of diagonal is equal to the perimeter of n sided polygon. If each side is 2 cm long then n will be:

  1. 5
  2. 6
  3. 7
  4. 8

Answer (Detailed Solution Below)

Option 3 : 7
Free
HTET PGT Official Computer Science Paper - 2019
60 Qs. 60 Marks 60 Mins

Detailed Solution

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Formula used:

The number of diagonals that can be drawn by joining the angular points of a polygon having n sides is given by:

 

The perimeter of polygon = n × (side of a polygon)

Calculation:

Given that,

Length of the side of polygon = 2 cm

According to the question,

The number of diagonal is equal to the perimeter of n sided polygon.

⇒ 

⇒ n - 3 = 4

⇒ n = 7

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