An octagon with a side length of 5.8 cm has an apothem that is approximately 7 cm. The area of such a shape is approx 162.4 sq cm.
With the information given it is not possible. Does 24 ft refer to a length of a side, the longest side, the shortest side, a diagonal, an apothem? Knowing the answer to that question can only help if the decagon is regular - and on the basis of the question, there is no reason to assume regularity.
i think its 10
They are the apothem and side length of a nonagon. So what exactly is the question?
What is the area of a regular pentagon with side length of 9.4 feet and an apothem length of 6.5 feet
The apothem and side length are not consistent. That is, a decagon with an apothem of 3.8 cm cannot have a side length of 2.5 cm.If the apothem is 3.8 cm then area = 46.9 cm2 whileif the side length is 2.5 cm then area = 48.1 cm2.The two answers agree at the tens place and so the most accurate answer is 50 cm2 to the nearest 10.
378 cm ^2
Area of a regular polygon equals to the one half of the product of its perimeter with the apothem. So we have: A = (1/2)(a)(P) Since our polygon has 10 sides each with length 1.2, the perimeter is 12 910 x 1.2). Substitute 12 for the perimeter, and 1.85 for the apothem in the area formula: A = (1/2)(a)(P) A = (1/2)(1.85)(12) A = 11.1 Thus, the area of the decagon is 11.1.
A regular nonagon with a side length of 9 has an apothem of 12.4 not 16. So the question is inconsistent.
An octagon with a side length of 5.8 cm has an apothem that is approximately 7 cm. The area of such a shape is approx 162.4 sq cm.
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.)
The apothem and side length are not consistent. That is, a nonagon with an apothem of 5.6 cm cannot have a side length of 4.1 cm.If the apothem is 5.6 cm then area = 102.7 cm2 whileif the side length is 4.1 cm then area = 103.9 cm2.The two answers agree at the tens place and so the most accurate answer is 100 cm2 to the nearest 10.
An octagon with a side length of 5.8 cm has an apothem that is approximately 7 cm. The area of such a shape is approx 162.4 sq cm.
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
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.)
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
With the information given it is not possible. Does 24 ft refer to a length of a side, the longest side, the shortest side, a diagonal, an apothem? Knowing the answer to that question can only help if the decagon is regular - and on the basis of the question, there is no reason to assume regularity.