Determine the number of diagonals in a regular 40-gpn
If you mean that the a regular 40-sided polygon, recall that the formula for total number of diagonals of a polygon with n sides is,
D = n(n-3)/2
Therefore,
D = 40(40-3)/2
D = 740 diagonals
Hope this helps~ :3
To determine the number of diagonals in a regular 40-gon, we can use a formula.
The formula for the number of diagonals in a regular polygon is:
Number of diagonals = n(n-3)/2
Where n is the number of sides of the polygon.
In this case, we have a regular 40-gon, so n = 40.
Plugging the value into the formula, we get:
Number of diagonals = 40(40-3)/2
Simplifying further:
Number of diagonals = 40(37)/2
Number of diagonals = 1480/2
Number of diagonals = 740
Therefore, a regular 40-gon has 740 diagonals.