What is the total degrees in a hexagon?
Understand the Problem
The question is asking for the total sum of the interior angles in a hexagon. To find this, we can use the formula for the sum of interior angles of a polygon, which is (n-2) * 180, where n is the number of sides. For a hexagon, n is 6.
Answer
The sum of the interior angles in a hexagon is \( 720^\circ \).
Answer for screen readers
The sum of the interior angles in a hexagon is ( 720^\circ ).
Steps to Solve
- Identify the number of sides in the hexagon
A hexagon has 6 sides, so we set ( n = 6 ).
- Substitute the number of sides into the formula
The formula to find the sum of the interior angles is:
$$ \text{Sum of interior angles} = (n - 2) \times 180 $$
Substituting ( n = 6 ):
$$ \text{Sum of interior angles} = (6 - 2) \times 180 $$
- Calculate the result
First, subtract 2 from 6:
$$ 6 - 2 = 4 $$
Now multiply by 180:
$$ \text{Sum of interior angles} = 4 \times 180 $$
- Final computation
Calculate ( 4 \times 180 ):
$$ 4 \times 180 = 720 $$
Thus, the sum of the interior angles in a hexagon is 720 degrees.
The sum of the interior angles in a hexagon is ( 720^\circ ).
More Information
The sum of the interior angles of polygons is a foundational concept in geometry, and knowing how to calculate it for various shapes is important for understanding more complex geometric problems.
Tips
- A common mistake is forgetting to subtract 2 from the number of sides before multiplying by 180. Always remember that the formula requires (n-2).
