389.40
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.
No because when u tile an octogon it doesn't have a measure for a square
The area is about 695.29 square units.A = 2(1 + sqrt2)S2 where S is a side lengthP = 8*SS = 12A = (2 + 2 sqrt2) 144A = 288 + 288 sqrt2A = 288 + 407.29A = 695.29---DerivationThe area of a regular polygon is:Area = (1/2)(p)(a), where p is the perimeter and a the apothem.Since we know the perimeter, and also the length of each side of our octagon which is 12 (96/8), we need to find the length of the apothem a.Let's take a look at one of the right triangle which is formed when we draw the radius from the center to one of the vertices, and the apothem a from the center perpendicular to the side s.In this right triangle we have:side s = 6 (12/2)angle opposite to apothem = 67.5 degrees (135/2)So that,tan 67.5 degrees = a/sa = (tan 67.5 degrees)(6)a = 14.5 (approximately)Thus,Area = (1/2)(p)(a)Area = (1/2)(96)(14.5)Area = 696
the square root of 64 =8/2=4
Any - it can be acute, right, obtuse, reflex - take your pick! A regular octagon, on the other hand, will have all internal angles measuring 135 degrees. That is, they will all be obtuse.
Area in square units = 0.5*(apothem)*(perimeter)
293.72
309.12
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.)
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, (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.)
A = 1/2 * 10.49*7*8 = 293.72
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
yo ueshuigbueswtk hjbvs
If each side is 8 units in length then area is 0.5*10.45250372^2 *sin(45)*8 = 309.019336 square units
There is nothing in the question to indicate that it is a regular octagon and since that cannot be assumed, there is not enough information to calculate its area. Even if it were regular, the answer will depend what the 8-foot measure refers to: the length of a side of the octagon, its diameter, its apothem etc.
If the sides are of length 4 units then the perimeter is 8*4 = 32 units. Its area is then 77.255 square units.