a regular dodecagon has a side lenght of 5.6cm find the side lenght of a regular octagon that has the same perimeter?
P = 12 * 5.6 = 67.2 cm. = Perimeter.
P = 8Ls = 67.2,
Ls = 8.4 cm. = Length of each side.
To find the side length of a regular octagon with the same perimeter as a regular dodecagon with a side length of 5.6 cm, you can follow these steps:
Step 1: Find the perimeter of the regular dodecagon.
The perimeter of a regular polygon is calculated by multiplying the number of sides by the length of each side. Since the dodecagon has 12 sides and each side length is 5.6 cm, the perimeter of the regular dodecagon is 12 * 5.6 = 67.2 cm.
Step 2: Find the side length of the regular octagon.
An octagon has 8 sides. To find the side length of the regular octagon with the same perimeter as the dodecagon, divide the perimeter of the dodecagon by the number of sides of the octagon:
67.2 cm / 8 = 8.4 cm.
Therefore, the side length of the regular octagon with the same perimeter as the regular dodecagon is 8.4 cm.
To find the side length of a regular octagon that has the same perimeter as a regular dodecagon, you need to know the perimeter of the dodecagon.
The formula to find the perimeter of a regular polygon is: P = n * s, where P is the perimeter, n is the number of sides, and s is the side length.
Given that the regular dodecagon has a side length of 5.6 cm, we can calculate its perimeter as follows:
Perimeter of dodecagon = 12 * 5.6 cm
Perimeter of dodecagon = 67.2 cm
Now that we know the perimeter of the dodecagon, we can find the side length of the regular octagon that has the same perimeter. Since an octagon has 8 sides, its formula for perimeter calculation will be:
Perimeter of octagon = 8 * s
To find the side length of the octagon, we set its perimeter equal to the perimeter of the dodecagon:
8 * s = 67.2 cm
Divide both sides of the equation by 8:
s = 67.2 cm / 8
s ≈ 8.4 cm
Hence, the side length of a regular octagon with the same perimeter as the regular dodecagon (with a side length of 5.6 cm) is approximately 8.4 cm.