The octagon will consist of 8 isosceles angles with equal base angles of 67.5 degrees and equal sides of 9.145940754 units with an apex angle of 45 degrees opposite side 7 units.
Area of regular octagon: 0.5*9.145940754^2 *sin(45)*8 = 236.5929291 square units
Area in square units = 0.5*(apothem)*(perimeter)
If the sides are of length 4 units then the perimeter is 8*4 = 32 units. Its area is then 77.255 square units.
A regular octagon has 8 sides similarly to an octagon. The name regular octagon means that all angles are the same, therefore inferring that all sides are of equal length.
130 to find the area of any regular polygon, multiply the perimeter by one-half the apothem. This is the same as multiplying the side-lengths by the number of sides by one-half the apothem.
An octagon has eight sides. A regular octagon is one that has eight sides of equal length, and all the angles are of the same measure. Anything else - sides that are not all the same length, or not all angles the same - would be a non-regular octagon.
309.12
Area in square units = 0.5*(apothem)*(perimeter)
The area of a regular octagon: A = (2 x apothem)2- (length of side)2 or in this case A= (2 x 8.45)2 - 72
309.12
389.40
293.72
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.
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.)
A = 1/2 * 10.49*7*8 = 293.72
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, (7 cm and 8.45 cm) Area = (8.45)(28) = 236.6 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 7 cm , the area is also about 236.6 cm2.(This formula is generated by adding or subtracting the missing corner triangles.)
If the sides are of length 4 units then the perimeter is 8*4 = 32 units. Its area is then 77.255 square units.
A regular octagon has 8 sides similarly to an octagon. The name regular octagon means that all angles are the same, therefore inferring that all sides are of equal length.