Question

how many diagonals does a 8 sided polygon have?​

Answer 1

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Answer 2

Answer:

The eight sided polygon has 20 diagonals.

To find:

• Number of diagonals in a 8 sided polygon.

Solution:

Number of diagonals in a polygon is given by.

• n(n - 3)/2

Here, n = number of sides.

For 8 sided polygon.

Number of diagonals = 8(8 - 3)/2

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= 8(5)/2

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= 40/2 = 20

Hence, a 8 sided polygon has 20 diagonals.