Area in square units = 0.5*(apothem)*(perimeter)
If you mean an apothem of 4.82 inches rounded to two decimal places then its area is 0.5*4.82*7*5 = 84.35 square inches.
It is 665.1 sq inches.
Area of regular 8 sided octagon: 0.5*7*5.8*8 = 162.4 square units Not that in fact by using trigonometry the apothem is slightly bigger than 7
If each side is 8 units in length then area is 0.5*10.45250372^2 *sin(45)*8 = 309.019336 square units
Apothem length: 4.82 35.35 square units APEX
Area in square units = 0.5*(apothem)*(perimeter)
309.12
389.40
293.72
232.57 square inches.
For a SQUARE, the area is (2r)2 because the length and width are the same. The apothem (radius) is used to find the area of other regular polygons.
An apothem of a regular polygon is a segment from its center to the midpoint of a side. You can use the apothem to find the area of a regular polygon using this formula: A = pa/2 where p is the perimeter of the figure and a is the apothem. For a regular octagon with side length 11, the perimeter p = 8(11) = 88. So the area would be A = 88(8.85)/2 = 389.4 square units.
If you mean an apothem of 4.82 inches rounded to two decimal places then its area is 0.5*4.82*7*5 = 84.35 square inches.
A = 1/2 * 10.49*7*8 = 293.72
It is 665.1 sq inches.
By Apothem LengthThe area of a regular octagon can also be computed using its measured apothem (a line from the center to the middle of any side). The formula for an octagon with side length s and apothem a is Area = a4s . (apothem times one-half the perimeter)So for this example, (8 cm and 9.66 cm) Area = (9.66)(32) = 309.12 cm2----By Side LengthThe area of a regular octagon with side length s is given as Area = 4.828427 s2 , so for a regular octagon of side length 8 cm , the area is calculated as 309.02 cm2. (indicating an error from rounding the apothem length)(This formula is generated by adding or subtracting the missing corner triangles.)