askvity

How many diagonals are there in a polygon with 8 sides?

Published in Geometry 1 min read

A polygon with 8 sides, also known as an octagon, has 20 diagonals.

Here's how to calculate that:

The general formula for the number of diagonals in a polygon with n sides is:

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

In this case, n = 8. Substituting this value into the formula, we get:

Number of diagonals = 8(8-3) / 2
Number of diagonals = 8(5) / 2
Number of diagonals = 40 / 2
Number of diagonals = 20

Therefore, an octagon has 20 diagonals.

Related Articles