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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

Q: What is the area of a regular octagon with sides the length of 7 and an apothem of 10.49?

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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.

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.

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.

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.

Related questions

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

389.40

293.72

309.12

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.