Calculate the area of a regular eight-sided polygon.
Octagon Dimensions
Calculation Results
482.84
Total Area (A)
Geometric properties of the regular octagon.
Perimeter (P)80.00
Apothem (r)12.07
About this calculator
The Octagon
An octagon is a polygon with eight sides and eight angles. In a regular octagon, all sides are the same length and all interior angles are 135°. The area of a regular octagon is roughly 4.83 times the square of its side length.
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Pro Tips
The perimeter is simply 8 times the side length (8s).
The 'apothem' is the distance from the center to any side's midpoint.
You can form a regular octagon by cutting four equal triangles from the corners of a square.
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Fun Facts
"Stop signs are octagonal because the unique shape helps drivers identify the sign even if the front is obscured by snow or dirt."
"The 'Bagua' in Chinese philosophy uses an octagonal map to represent the fundamental principles of reality."
"The Dome of the Rock in Jerusalem, one of the oldest works of Islamic architecture, has an octagonal plan."
