round angle

Thân thiện

A protractor shows a round angle measuring 360 degrees.

Definition

1. Noun:
   • A full rotation; an angle measuring exactly 360 degrees: A "round angle" is the angle formed by a complete revolution, where the starting and ending positions of a ray are the same. It represents a full circle.

Usage

• The term "round angle" is a precise geometric term. It is used to describe a complete turn or rotation.
• It is often contrasted with other standard angles like acute, right, obtuse, straight, and reflex angles.

Examples

• Noun:
  • In geometry, a circle contains one round angle at its center.
  • Turning 360 degrees means you have turned through a round angle.

Advanced Usage

• Mathematical Context: In trigonometry, functions like sine and cosine have the same value for an angle and that angle plus or minus any multiple of a round angle (e.g., sin(θ) = sin(θ + 360°)).
• Conceptual Use: The idea of a "round angle" can be used metaphorically to describe something that has returned to its starting point or completed a full cycle.

Variants and Related Words

• Perigon (n): Another, less common term for a 360-degree angle.
• Full angle (n): A synonym for "round angle."
• Revolution (n): One complete turn or rotation, equivalent to a round angle.

Synonyms

• Full angle
• Complete angle
• 360-degree angle

Related Phrases and Concepts

• Angles of rotation: "Round angle" is the largest standard angle of rotation before overlapping.
• Coterminal angles: Two angles are coterminal if they differ by an integer multiple of a round angle (e.g., 30° and 390°).

Học thuật

Noun

1. an angle of 360 degrees

Từ đồng nghĩa

• perigon