To calculate the Radius (R):
\[ R = \frac{S}{2 \times \sin\left(\frac{\pi}{8}\right)} \]
Where:
An octagon radius is the distance from the center of the octagon to any of its vertices. It is a crucial measurement in various fields such as architecture, carpentry, and mathematics, especially when constructing objects with octagonal shapes or when calculating areas and perimeters of octagons.
Let's assume the following value:
Using the formula:
\[ R = \frac{10}{2 \times \sin\left(\frac{\pi}{8}\right)} = \frac{10}{2 \times 0.382683} = \frac{10}{0.765367} = 13.07 \text{ units} \]
The Radius is 13.07 units.
Let's assume the following value:
Using the formula:
\[ R = \frac{5}{2 \times \sin\left(\frac{\pi}{8}\right)} = \frac{5}{2 \times 0.382683} = \frac{5}{0.765367} = 6.54 \text{ units} \]
The Radius is 6.54 units.
