round angle
Definition
- 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°).
Noun
-
an angle of 360 degrees
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