Enter the side length of the octagon into the calculator to determine the radius of the octagon. The radius is the distance from the center to any vertex.
Octagon Radius Formula
The following formula is used to calculate the radius of an octagon.
R = S / (2 * sin(π / 8))
Variables:
- R is the radius of the octagon (units)
- S is the side length of the octagon (units)
To calculate the radius of an octagon, divide the side length by twice the sine of π/8 radians.
What is an Octagon Radius?
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.
How to Calculate Octagon Radius?
The following steps outline how to calculate the Octagon Radius.
- First, determine the side length of the octagon (S) in your chosen units.
- Next, use the formula R = S / (2 * sin(π / 8)) to calculate the radius (R).
- Finally, calculate the Octagon Radius (R) in the same units as the side length.
- After inserting the variable and calculating the result, check your answer with the calculator above.
Example Problem :
Use the following variable as an example problem to test your knowledge.
side length of the octagon (S) = 10 units
