The first step to find the area of a hexagon is to draw one. Inside the hexagon, make a dot in the middle, then connect all of the vertices to that dot, creating six interior triangles.
Second, we must find each interior angle, take the total amount of degrees in the shape which is 720 and divide it by the number of sides, 6, and we get 120 for each interior angle.
Third, find each central angle, to do this you must divide the number of sides, 6, by 360 degrees. In this case we get 60 degrees for each central angle.
Fourth, use one of the triangles that we made earlier and find all of the angles in that triangle by subtracting from the outside angles.
Fifth, cut that triangle in half and create two right triangles. Now we can solve for the triangle's height or apothem.
The sixth step is to use one of the Sine, Cosine, or Tangent formulas to find the missing length. For this step you will need to know the length of each exterior sides, because the horizontal leg for each right triangle is the exterior length divided by 2.
For the seventh step since we found the height or apothem, we are not going to find the area of the half slice. The formula we are going to use is Base times Height times ½.
Then for the eighth step, solve for the full hexagon by multiplying the half triangle area times 12 to get the area of the full hexagon.