find surface area of hexagon?

Question

find surface area of hexagon

Answer 1

the formula to find the area of any type of regular polygon is:

A = 1/2 * apathem * number of side * side length

if you are talking about the area of a hexagon prism then:

A = 2 (1/2 * apathem * number of side * side length) + number of sides * side length * height

Answer 2

Surface Area Of A Hexagon

Answer 3

If the hexagon is a regular hexagon ( all sides = s, and all interior angles = 120 degrees), then the area is given by:
aP/2 where p is the perimeter = 6s, s is the length of one side, and a is the apothem which is the perpendicular distance from the center of the regular hexagon to a side.

If the hexagon is not regular, then you must divide the hexagon into triangles, make the necessary measurements and comput the area of each triangle and the sum of their areas will be the area of the irregular polygon.

Answer 4

Call the side length L and the height H. Now, we need to figure out the area of each of the six triangles making up the hexagonal base, and the area of each of the six triangles facing up and out, add those, and multiply by 6. The six triangles making up the base are equilateral triangles. There is a simple formula for the area of an equilateral triangle, it is (L^2)*√(3)/4. With the other triangles, things are a little more complicated. Fortunately, we can apply some other triangle formulas here. The distance from the center of the base to the middle of any given edge is the height of an equilateral triangle, which is L*√(3)/2. By Pythagoras, the height of each of the outwards-facing triangles is thus √((H^2)+((L*√(3)/2)^2)) which simplifies to √((H^2)+0.75*(L^2)). The area is thus 0.5*L*√((H^2)+0.75*(L^2)). If we take ((L^2)*√(3)/4)+(0.5*L*√((H^2)+0.75*(L^2)... and multiply by 6, we get 3*(((L^2)*√(3)/2)+(L*√((H^2)+0.75*(L^2))... Punch in L = 8 and H = 4 for this formula and we get 358.277m^2 in total area. This sounds reasonable given those dimensions.

Answer 5

If you are talking about a regular hexagon

then

A = 3/2 ⋅ √3 ⋅ L²
A = √3 ÷ 24 ⋅ P²

where L is the length of a side or P is the perimeter. Use either equation. They are based on one another, since the perimeter is equal to the length of a single side times the number of sides.