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KCET 2025 Math Paper

Question : 23 of 60

Marks: +1, -0

The number of diagonals that can be drawn in an octagon is

Solution:

To find the number of diagonals in an octagon (a polygon with 8 sides), use the formula for the number of diagonals in a polygon, which is:

\; \frac{n(n-3)}{2}

where

n

is the number of sides of the polygon.

For an octagon,

n=8

. Plug this value into the formula:

\; \frac{8(8-3)}{2} = \frac{8 \times 5}{2} = \frac{40}{2} = 20

Therefore, an octagon has 20 diagonals.

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