perigon

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perigon

A student draws a perigon on the whiteboard.

Definition
  1. Noun:
    • A full angle; an angle of 360 degrees: A perigon is the complete rotation around a point, representing the entirety of a circle's angular measure.
Usage
  • The term "perigon" is a specialized geometric term. It is used to describe the total angular measure of a circle or a complete revolution. It is less common in everyday language than "360-degree angle" or "full rotation" but is precise in mathematical and technical contexts.
Examples
  • Noun:
    • The sum of the exterior angles of any polygon is one perigon.
    • Turning through a perigon brings you back to your original orientation.
Advanced Usage
  • In advanced geometry, a perigon is sometimes subdivided into 400 grads (or gon) in the centesimal system, as opposed to 360 degrees in the sexagesimal system.
  • The concept is fundamental in trigonometry when discussing periodic functions, as sine and cosine have a period of one perigon.
Variants and Related Words
  • Full angle: A more common synonym for perigon.
  • Round angle: Another term occasionally used with the same meaning.
  • Revolution: Often used in physics and engineering to describe a complete turn.
Synonyms
  • 360-degree angle
  • Complete angle
  • Full rotation
Antonyms
  • Zero angle (an angle of 0 degrees)
  • Acute angle (an angle less than 90 degrees)
perigon

A student draws a perigon on the whiteboard.

Noun
  1. an angle of 360 degrees

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