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How Big Is a Megagon?

Published in Geometry 1 min read

A megagon is a polygon with one million sides.

While "big" can refer to physical size, it usually refers to the number of sides when discussing polygons like a megagon. Therefore, a megagon's "size" is defined by its million sides. It is so close to a circle visually that it would be nearly impossible to distinguish from one without significant magnification.

Here's a breakdown:

  • Definition: A megagon is a polygon (a closed, two-dimensional shape with straight sides) that has 1,000,000 sides.

  • Visual Appearance: Due to the sheer number of sides, a megagon, even when drawn to a considerable scale, would appear almost indistinguishable from a circle to the naked eye.

  • Angles: The internal angles of a regular megagon are very close to 180 degrees. Each interior angle measures 179.99964 degrees.

  • Practicality: Megagons (and other polygons with a very large number of sides) primarily exist as mathematical concepts rather than physical objects. It's virtually impossible to construct a perfect megagon in the real world.

In essence, the "bigness" of a megagon lies in the immense number of sides that define it, making it an abstract shape that closely approximates a circle.