What is the total degrees of a hexagon?
Understand the Problem
The question is asking for the total sum of the interior angles of a hexagon. A hexagon has six sides and the formula to calculate the total degrees is (n-2) * 180, where n is the number of sides.
Answer
The sum of the interior angles of a hexagon is $720$ degrees.
Answer for screen readers
The total sum of the interior angles of a hexagon is $720$ degrees.
Steps to Solve
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Identify the number of sides A hexagon has $n = 6$ sides.
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Apply the formula for the sum of interior angles Use the formula for the sum of the interior angles of a polygon: $$ \text{Sum} = (n - 2) \times 180 $$ Substituting the value of $n$, we get: $$ \text{Sum} = (6 - 2) \times 180 $$
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Calculate the result Now calculate the value: $$ \text{Sum} = 4 \times 180 = 720 $$
The total sum of the interior angles of a hexagon is $720$ degrees.
More Information
The sum of the interior angles for any polygon can be useful in various applications in geometry, architecture, and engineering. The hexagon is a common shape found in nature and designs, such as honeycombs.
Tips
- Forgetting to subtract 2 from the number of sides before multiplying by 180. Always ensure to apply the formula correctly.
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