hexagon


hexagon, in geometry, a six-sided polygon. In a regular hexagon, all sides are the same length, and each internal angle is 120 degrees. The area of a regular hexagon is commonly determined with the formula: area = 3√3/2 × side 2 In an irregular hexagon, the sides are of unequal length, and each internal angle can be more or less than 120.



In a regular hexagon, all sides have equal lengths. Let's represent the length of each side as x+5 inches. Since a hexagon has six sides, the perimeter is calculated by multiplying the length of one side by 6. Therefore, the equation is: (x+5) * 6 = 72. To solve for x, we can divide both sides of the equation by 6: (x+5) = 72 / 6. x+5 = 12



The area is width×height: 1.94 × 3.495 = 6.7803 Add Them All Up Now add them all up! But the trick is to add when they go forwards (positive width), and subtract when they go backwards (negative width). If you always go clockwise around the polygon, and always subtract the first "x" coordinate from the second, it works out naturally, like this: