The sum of the interior angles of a hexagon can be calculated using the formula for the sum of interior angles of any polygon, which is given by:
Sum = (n – 2) * 180°
Here, n represents the number of sides of the polygon. In the case of a hexagon, it has 6 sides, so we plug in the value:
Sum = (6 – 2) * 180°
This simplifies to:
Sum = 4 * 180° = 720°
Therefore, the total sum of the interior angles of a hexagon is 720 degrees. This means that if you were to measure all the interior angles of a hexagon and add them together, the result would be 720°.
This property of hexagons is consistent with the general principles of geometry, making it a valuable concept for various applications, including architecture, engineering, and even art, where hexagonal shapes are frequently used.