A regular hexagon can be cut into six equilateral triangles, and an equilateral triangle can be divided into two 30°- 60°- 90° triangles. Formula for the Area of a Hexagon. In order to calculate the area of a hexagon, we divide it into small six isosceles triangles. We will now have a look at how to find the area of a hexagon using different tricks. So if you’re doing a hexagon problem, you may want to cut up the figure and use equilateral triangles or 30°- 60°- 90° triangles to help you find the apothem, perimeter, or area. How does the formula work? The exterior angle is measured as 60-degree in case of the regular hexagon and the interior angle is measured as 120-degree. Hexagon area formula: how to find the area of a hexagon. For those who want to know how to do this by hand, we will explain how to find the area of a regular hexagon with and without the hexagon area formula. Regular hexagon fits together well like an equilateral triangle and they are commonly seen as tiles in the house. If we are given the variables and , then we can solve for the area of the hexagon through the following formula: In this equation, is the area, is the perimeter, and is the apothem.
Calculate the area of one of the triangles and then we can multiply by 6 to find the total area … Area of Hexagon = \(\large \frac{3 \sqrt{3}}{2}x^{2}\) where “x” denotes the sides of the hexagon. Area of the hexagon is the space confined within the sides of the polygon. There are mainly 6 equilateral triangles of side n and area of an equilateral triangle is (sqrt(3)/4) * n * n. Since in hexagon, there are total 6 equilateral triangles with side n, are of the hexagon becomes (3*sqrt(3)/2) * n * n The area of Hexagon is given by. We must calculate the perimeter using the side length and the equation , where is the side length. Area = (3 √3(n) 2) / 2. There is one more formula that could be used to calculate the area of regular Hexagon: Formula for area of a hexagon: Area of a hexagon is defined as the region occupied inside the boundary of a hexagon. The easiest way is to use our hexagon calculator, which includes a built-in area conversion tool. Area of a Hexagon Formula.
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