Octagon Side from Area

The Octagon Side from Area calculator computes the length of the sides(s) of a regular octagon based on the area (A).  A regular octagon Regular Octagon is an eight sided polygon where all of the sides are the same length (s).

INSTRUCTIONS:  Choose your preferred units and enter the following:

• (A) Area of Octagon

Octagon Side(s):  The calculator returns the length of a single side 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 sides are the same length (s).  The Octagon Side equation is as follows:

              s = `sqrt((A/(2(1 +√2)))`

where:
s - side length
A - area of octagon

Octagon Information

An octagon is a polygon with eight sides. It is a geometric shape characterized by having eight straight sides of equal length and eight angles, each measuring 135 degrees. The sum of the interior angles of an octagon is 1080 degrees. Octagons can come in various sizes and proportions but maintain the essential characteristic of eight sides. Regular octagons have all sides and angles equal, while irregular octagons can have sides and angles of different lengths and measures. Octagons are commonly encountered in geometry and can be found in various contexts, such as in the design of stop signs, certain architectural elements, and decorative patterns.

Octagon Calculators

• Octagon Area: Area of regular octagon from side length.
• Octagon Side from Area: Side length of octagon from area. 
• Octagon Radius from Area: Radius of octagon from its area.
• Octagon Radius from Side Length: Length of octagon side base on the outer radius.
• Octagon Side Length in a Square: Length of octagon side based on the width of the box or square containing it.
• Octagon Volume: Volume of a column based on side length and height.
• Octagon Column Surface Area: Surface area of column based on side length and height.
• Octagon Column Mass: Mass or weight of column based on side length, height and density.
• Octagon Planter Volume: Volume of soil and planting surface area in an octagon shaped planter based on dimensions.