The Octagon Side Length in a Square calculator computes the sides of length (s) of a regular octagon that would fit in a box (square). 
INSTRUCTIONS: Choose units and enter the following:
- (w) This is the width of the square
Octagon Side Length (s): The calculator returns the side length (s) in meters. However, this can be automatically converted to other length units (e.g. feet) via the pull-down menu.
The Math / Science
A regular octagon is an eight sided polygon where all of the lengths of the sides and the interior angles are the same. Octagon shapes are used in many application and even in nature. Octagon shapes provide conveniences of straight sides with the general appearance of a more circular polygon.
The formula for the length of a side of a regular octagon that fits in a box is:
`s = w / (1 + sqrt(2))`
where:
s - side length
w - width of the square
Octagon Calculators
- Area of an Octagon from its Side Length
- Length of a side of an Octagon from its Area
- Radius of an Octagon from its Area
- Radius of an Octagon from its Side Length
- Octagon in a Square or Box
- Volume of an Octagon shaped column
- Surface Area of an Octagon Column
- Mass or Weight of and Octagon Column
Related Geometry Calculators
- Area of a Circle - Multiple functions to compute the area of a circle or portions of a circle.
- Area of Triangle - Three Sides
- Area of Quadrilateral - Four Sides
- Area of Pentagon - Five Sides
- Area of Hexagon - Six Sides
- Area of Heptagon - Seven Sides
- Area of Octagon - Eight Sides
- Area of Nonagon - Nine Sides
- Area of Decagon - Ten Sides
- Area of Hendecagon - Eleven Sides
- Area of Dodecagon - Twelve Sides
- Area of Polygon - Any number of sides (n).