232.57 square inches.
By joining all the vertices to the centre of the octagon, the apothem forms the height of the triangles with the side of the regular octagon as the base. This the area is 8 × area_triangles = 8 × ½ × side × apothem = 4 × side × apothem: Area_regular_octagon = 4 × side_length × apothem ≈ 4 × 4 in × 4.8 in = 76.8 in²
The apothem is 12.5 metres.
Given the side length of a regular polygon you don't need the apothem and conversely. Using the side length, you get an area of 52.61 sq metres. Using the apothem, you get 52.69 sq metres. The difference between the two is because, if the side were exactly 4.5 m, then the apothem would be side*sqrt(3)/2. This is 3.897 m (to 3 dp) rather than 3.9. The difference leads to the answer for the area being 52.6 or 52.7 sq metres. However, the lengths are given to only 2 significant digits and to 2 sig digs, the area is 52 sq metres. This is a good example for people who insist on giving answers to spurious levels of accuracy.
To find the area of a Regular hexagon with side length (x) you need:1. The "radius" of the hexagon. (Just the length from the center to the outside edge.)2. The apothem. (which is only just half of the height of the base.)**If you don't have one or both of these you can't do it.**Steps:1. Make a triangle of the apothem (used as a) and the radius. (r)2. Use the Pythagorean Theorem to find 1 half of the side length.3. Multiply the actual side length by 6.4. Multiply that by a.5. The area is your answer.
The apothem of a square is equal to one half of the length side of the square. So the side length of the square is 24 (2 x 12). Thus, the area of the square is 576 (24^2).
If the perimeter is 15, he apothem cannot be 18.1
penis salad
4.12
Area in square units = 0.5*(apothem)*(perimeter)
A = (1/2)Pa A being the area, P being the perimeter of the regular polygon, and the apothem length being a.
A regular nonagon with a side length of 9 has an apothem of 12.4 not 16. So the question is inconsistent.
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
The area of a regular polygon is equal to (1/2)pa, where p is the perimeter and a is the apothegm. The area of this polygon is (1/2)(15.44)(16), which is 123.52 square units.
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.
regular pentagon area of 12 000 m2 and an apothem of 40 m regular pentagon area of 12 000 m2 and an apothem of 40 m need to figure it out from area 12000 m2
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.)