How many diagonals are in a hexagon?
Understand the Problem
The question is asking for the number of diagonals in a hexagon. To find the number of diagonals in any polygon, you can use the formula \( D = rac{n(n3)}{2} \), where \( n \: \) is the number of sides of the polygon. In this case, a hexagon has 6 sides.
Answer
$9$
Answer for screen readers
The number of diagonals in a hexagon is $9$.
Steps to Solve

Identify the number of sides Since we are dealing with a hexagon, we identify that the number of sides, $n$, is 6.

Apply the formula for diagonals We will use the formula for the number of diagonals in a polygon: $$ D = \frac{n(n3)}{2} $$ Replacing $n$ with 6, we calculate: $$ D = \frac{6(63)}{2} $$

Calculate the expression First, calculate the value within the parentheses: $$ D = \frac{6 \times 3}{2} $$
Then perform the multiplication: $$ D = \frac{18}{2} $$
 Final division to find the number of diagonals Now, divide to find the result: $$ D = 9 $$
The number of diagonals in a hexagon is $9$.
More Information
In geometry, a hexagon is a polygon with six sides. The number of diagonals can be understood as line segments that connect nonadjacent vertices. The formula applies to any polygon, making it a versatile tool in geometry.
Tips
 Forgetting to subtract 3 from $n$. It's important to ensure that you correctly follow the formula to avoid miscalculating.
 Confusing the formula for the number of sides with the formula for diagonals. Always double check which formula is being used.