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A= 2(1 + sqrt2)S² where S is a side length


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What is the formula for finding the area of a regular polygon with perimeter P and apothegm length a?

Area of regular polygon: 0.5*apothem*perimeter


A regular octagon with sides of length 7 and an apothem of length 8.45 has an area of how many 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.)


How does the formula of a octagon work?

There is insufficient information for us to answer this question. Please edit the question to include more context or relevant information. What formula of an octagon are you referring to: the sum of the interior angles, the frustum of a regular octagon, the area, the perimeter, the number of diagonals? The possibilities are almost endless!


A regular octagon with sides of length 8 and an apothem of length 9.66 has an area of how many 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.)


What is the area of a regular octagon with an apothem of 8.5?

About 289

Related Questions

How do you find the area of an octagon?

The formula for the area of a regular octagon is:A = 2 (1+ SQRT(2)) s**2 , orA = 4.8284 s**2where A= the area of the octagon, ands is the length of one side s**2 indicates s squared or s times s


What is the formula for calculating the volume of an octagonal prism?

Calculating the volume (V) of an octagonal prism involves finding the area (A) of the octagon that is an end (or base), and then simply multiplying it by the length (L) of the prism. The area of an octagon with a side of length s is given by this formula: Aoctagon = 2 (1 + sqrt 2) s2 or about 4.8284 s2 If we take that and multiply it by the length of the prism, we should arrive at the volume thus: Voctagonal prism = L x Aoctagon


A regular of octagon of 24 cm?

A regular octagon is a polygon with 8 sides of equal length. To find the area of a regular octagon with a side length of 24 cm, we can use the following formula: Area = (8 × side^2) / (4 × tan(π/8)) where side = 24 cm Plugging in the value, we get: Area = (8 × 24^2) / (4 × tan(π/8)) Area ≈ 736.44 cm^2 So, the area of the regular octagon is approximately 736.44 square centimeters.


What is the area of a regular octagon?

not sure.


A regular octagon has an apothem measuring 10 in. and a perimeter of 66.3 in. What is the area of the octagon rounded to the nearest square inch?

To find the area of a regular octagon, you can use the formula: Area = (Perimeter × Apothem) / 2. Given the perimeter is 66.3 inches and the apothem is 10 inches, the area calculates to: Area = (66.3 × 10) / 2 = 331.5 square inches. Rounding to the nearest square inch, the area of the octagon is approximately 332 square inches.


How can you find the area of a shaded region assuming the octagon is regular?

To find the area of a shaded region within a regular octagon, first calculate the area of the entire octagon using the formula ( A = 2(1 + \sqrt{2})s^2 ), where ( s ) is the length of a side. Then, determine the area of any non-shaded regions (such as triangles or smaller shapes) within the octagon and calculate their total area. Finally, subtract the area of the non-shaded regions from the total area of the octagon to find the area of the shaded region.


What is the formula for finding the area of a regular polygon with perimeter P and apothegm length a?

Area of regular polygon: 0.5*apothem*perimeter


A regular octagon with sides of length 7 and an apothem of length 8.45 has an area of how many 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.)


Which figure's area formula is most similar to the area formula for a parallelogram?

Octagon


What is the formula to find the volume of an octagon?

You don't find the "volume" of a flat figure. Perhaps you want its surface area.The area for a regular octagon of side "a" is 2 (1 + root(2)) a2, where "root" isthe square root function. If it is not a regular octagon, I don't think there is asimple formula to find the area - you'll have to split it up into simpler figures,for example triangles.==================================Answer #2:Here is the formula, to which the first answer alluded in passing,but which, for some reason, it did not explicitly present:Volume of an Octagon = 0 .


How does the formula of a octagon work?

There is insufficient information for us to answer this question. Please edit the question to include more context or relevant information. What formula of an octagon are you referring to: the sum of the interior angles, the frustum of a regular octagon, the area, the perimeter, the number of diagonals? The possibilities are almost endless!


A regular octagon with sides of length 8 and an apothem of length 9.66 has an area of how many 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.)