4.14 feet, approx.
The diameter of an octagon with sides of 11 feet can take any value between 0 feet and 44 feet.
For a regular octagon, the angle for each side of an octagon is 180 x (8 - 2) / 8= 1080 / 8 = 135 degrees. Observe that 135 = 90 + 45. So, if we split up the octagon's angles on one side into 90 and 45 degree angles, we will get two 45-45 triangles, and a square. The length of the sides for a 45-45 triangle is 1/1/√2, or, more generally, x/x/x√2. The diameter of an octagon in relation to the sides is 2√2x+x = (1 + 2√2) * x. Solve for x: (1 + 2√2) * x = 13 Divide by (1 + 2√2), isolating x: x = 13 / (1 + 2√2) = 3.39565... The length of each side of an octagon with a diameter of 13 feet is approximately 3.39 feet, or 13 / (1 + 2√2) feet.
The area of an octagon which is nine feet on each side equates to 391.1 feet2
The area of an octagon with each side being 8 feet is 309 square feet.
The side length of a regular octagon whose principal diagonal is 25 feet is 9.57 feet, approx.
Approx 3.83 feet.
The diameter of an octagon with sides of 11 feet can take any value between 0 feet and 44 feet.
24 feet?
For a regular octagon, the angle for each side of an octagon is 180 x (8 - 2) / 8= 1080 / 8 = 135 degrees. Observe that 135 = 90 + 45. So, if we split up the octagon's angles on one side into 90 and 45 degree angles, we will get two 45-45 triangles, and a square. The length of the sides for a 45-45 triangle is 1/1/√2, or, more generally, x/x/x√2. The diameter of an octagon in relation to the sides is 2√2x+x = (1 + 2√2) * x. Solve for x: (1 + 2√2) * x = 13 Divide by (1 + 2√2), isolating x: x = 13 / (1 + 2√2) = 3.39565... The length of each side of an octagon with a diameter of 13 feet is approximately 3.39 feet, or 13 / (1 + 2√2) feet.
The area of an octagon which is nine feet on each side equates to 391.1 feet2
The area of an octagon with each side being 8 feet is 309 square feet.
7 feet
An octagon has 8 sides, each of which is four feet long. 8 x 4 = 32 feet, or 10 yards, 2 feet.
The side length of a regular octagon whose principal diagonal is 25 feet is 9.57 feet, approx.
Area = 695.294 ft2
Area = 271.6 ft2
Area = 173.8 ft2