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What is the length of each side of an octagon that is 48 inches in diameter?
Wiki User
∙ 12y ago
Since the diameter is 48 inches, and there are 8 sides, then each side will be 48/8 = 6 inches.
Wiki User
∙ 12y ago
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What is the perimeter of a regular octagon with a side length of 9 inches?
8 sides each 9 inches: 6 feet
How do you find the perimeter of an octagon if you know the diameter?
I presume by diameter of an octagon you mean the length of the diagonal between opposite vertices of a regular octagon. By completing all the diagonals between opposite vertices of a regular octagon, it divides it up into 8 equal isosceles triangles, with their apexes at the centre of the octagon. The two sides of these isosceles triangles which go from a vertex of the octagon to the centre has a length half that of the diameter. If the centre point of each side of the octagon is joined to the centre of the octagon, each of the 8 isosceles triangles above are split into two (congruent) right angled triangles. The angle at the centre of the octagon of each of these triangles is (360° ÷ 8) ÷ 2 = 22.5°. The side opposite this angle is half the length of the side of the octagon and so the perimeter is 16 times its length. The hypotenuse of the right angled triangles is half the diameter. Thus the trigonometric sine function can be used to find half the octagons side length, and thus its perimeter: sin = opp/hyp → opp = sin x hyp Perimeter = 16 x opp = 16 x (sin 22.5° x diameter/2) = diameter x 8 x sin 22.5° ≈ diameter x 3.061 This can be generalised to any regular even sided polygon if diameter is defined as the length of the diagonal between opposite vertices (which is also the maximum straight line distance between two points on the perimeter): perimeter = diameter x number_of_sides x sin(180° ÷ number_of_sides) As the number of sides increases, "number_of_sides x sin(180° ÷ number_of_sides)" gets closer and closer to π.
Is an octagon regular?
A plane shape is regular if each of its sides is of the same length AND each of its angles is of the same measure. An octagon can be regular or irregular.
The perimeter of a regular octagon is 40 cm what is the length of each side?
An octagon has eight sides, in this case all the same length. Total length of eight sides = 40 cm. Length of each side = 40 divided by 8 equals 5 cm
How do I find the length of each side of an octagon 25' across?
The side length of a regular octagon whose principal diagonal is 25 feet is 9.57 feet, approx.
What is the diameter of an octogon when each side is 18 inches in length?
An octagon is a polygon with 8 sides. To find the diameter of a regular octagon when each side is 18 inches in length, you can use the formula: Diameter = Side length × √(2 + √2) Plugging in the given side length (18 inches): Diameter = 18 × √(2 + √2) ≈ 56.97 inches So, the diameter of the octagon is approximately 56.97 inches.
what is diameter of octagon when each side is 34 inches?
Diameter = 88.84 inches
The total length of the sides of a regular octagon is 24 inches?
An octagon is an eight-sided figure. If a regular octagon has a perimeter of 24 inches, then each side will be 24 / 8 = 3 inches.
How long is each side of a 5 inch diameter octagon?
The length of a single edge of an octagon can be calculated by measuring the diameter, then dividing this length by the square root of the sum of four and two times the square root of two, which would be written in a calculator as sqrt(4+(2*sqrt(2))). In this case, a five inch diameter equates to approximately 1.913 inches per side.
What is the perimeter of a regular octagon with a side length of 9 inches?
8 sides each 9 inches: 6 feet
What is the perimeter of a regular octagon with side length 3 half inches?
A regular octagon has 8 sides so if each side is 3 1/2 inches long then the perimeter is just 8*(3 1/2 inches) or 28 inches
What is the length of each side of a decadon if surrounded by a circle that is 6.25 inches in diameter?
Each of the 10 sides of the decagon is 1.9314 inches long.
How do you find the perimeter of an octagon if you know the diameter?
I presume by diameter of an octagon you mean the length of the diagonal between opposite vertices of a regular octagon. By completing all the diagonals between opposite vertices of a regular octagon, it divides it up into 8 equal isosceles triangles, with their apexes at the centre of the octagon. The two sides of these isosceles triangles which go from a vertex of the octagon to the centre has a length half that of the diameter. If the centre point of each side of the octagon is joined to the centre of the octagon, each of the 8 isosceles triangles above are split into two (congruent) right angled triangles. The angle at the centre of the octagon of each of these triangles is (360° ÷ 8) ÷ 2 = 22.5°. The side opposite this angle is half the length of the side of the octagon and so the perimeter is 16 times its length. The hypotenuse of the right angled triangles is half the diameter. Thus the trigonometric sine function can be used to find half the octagons side length, and thus its perimeter: sin = opp/hyp → opp = sin x hyp Perimeter = 16 x opp = 16 x (sin 22.5° x diameter/2) = diameter x 8 x sin 22.5° ≈ diameter x 3.061 This can be generalised to any regular even sided polygon if diameter is defined as the length of the diagonal between opposite vertices (which is also the maximum straight line distance between two points on the perimeter): perimeter = diameter x number_of_sides x sin(180° ÷ number_of_sides) As the number of sides increases, "number_of_sides x sin(180° ÷ number_of_sides)" gets closer and closer to π.
What is an octagon that is not irregular?
An octagon that is not irregular is a regular octagon, one in which each of the eight sides os the same length
Calculate the engine displacement of a six-cylinder engine when each cylinder has a diameter of 3.2 inches and a stroke length of 3.5 inches?
168.8 cubic inches
What is the length of each side of a regular octagon?
Any length greater than zero.
Is an octagon regular?
A plane shape is regular if each of its sides is of the same length AND each of its angles is of the same measure. An octagon can be regular or irregular.
