The Octagon Radius from Area calculator computes the radius of a circle (r) that goes around an octagon with an area (A). Regular Octagon within a Circle
INSTRUCTIONS: Choose units and enter the following:
Octagon Radius (r): The calculator returns the radius (r) in meters. However, this can be automatically converted to other length units (e.g. feet) via the pull-down menu.
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
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.
Laying out an Octagon Garden: