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Assume regular hexagon of side L.
Split the hexagon into 6 equilateral triangles. (A sketch would help here)
You need to find the height of the triangle to find it's area.
Split the triangle in half with a vertical line.
You now have 2 right angle triangles of base L/2 height h. Top angle 30 degrees, bottom angle 60 degrees.
L/(2h) = tan 30
h = L/(2tan 30)
h = root 3 L/2
Area of 1 equilateral triangle = 1/2 x L x h
= (root 3 x L2)/4
Area of hexagon = 6x(root 3 x L2)/4
Area of hexagon = 3x(root 3 x L2)/2
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Formula for the area of a hexagon?
The formula for a hexagon is 6x.5xsin(60)edge2 = 3xsin(60)edge2=2.598edge2.
Surface area of a hexagon?
There is no simple formula for the surface area of a general hexagon. The simplest solution is to partition it into triangles, calculate their areas and sum the results.
What is area formula of an irregular hexagon?
There is no standard formula. It is necessary to partition the irregular hexagon into more convenient shapes such as triangles and quadrilaterals, find their areas and sum the results.
What is the formula for finding the surface area of a hexagon?
Area of triangle = ½ base x altitude. Regular hexagon is 6 equal triangles so Area= 3 x base x altitude
How do you find the area of a regular hexagon whose apothem is 1.7cm and side length is 2cm?
To find the area of a regular hexagon, you can use the formula: Area = (Perimeter × Apothem) / 2. The perimeter of the hexagon is 6 times the side length, so for a side length of 2 cm, the perimeter is 12 cm. Substituting the values into the formula gives: Area = (12 cm × 1.7 cm) / 2 = 10.2 cm². Thus, the area of the hexagon is 10.2 cm².
