Final answer:
To find the total number of diagonals in a regular six-sided polygon, apply the formula diagonals = (n * (n-3))/2 with n=6, yielding 9 diagonals.
Step-by-step explanation:
The question asks us to determine the total number of diagonals in a regular six-sided polygon, which is a mathematical problem. To solve this, we need to apply the given formula for calculating diagonals: diagonals = (n * (n-3))/2, where n represents the number of sides in the polygon.
For a six-sided polygon (a hexagon), we have:
Substituting the value of n into the formula, we get:
diagonals = (6 * (6-3))/2
diagonals = (6 * 3)/2
diagonals = 18/2
diagonals = 9
Therefore, a regular six-sided polygon has a total of 9 diagonals.