plane angle: meaning, definition, pronunciation and examples
C2Technical/Academic
Quick answer
What does “plane angle” mean?
An angle formed by two intersecting lines in a plane, measured in degrees or radians.
Audio
Pronunciation
Definition
Meaning and Definition
An angle formed by two intersecting lines in a plane, measured in degrees or radians.
In geometry, the angle formed at the intersection of two straight lines or line segments lying in a single two-dimensional plane. It is distinct from solid angles formed in three-dimensional space.
Dialectal Variation
British vs American Usage
Differences
No significant differences in definition or usage. Both prefer 'plane angle' in formal technical writing to avoid ambiguity.
Connotations
Neutral technical term in both varieties.
Frequency
Equally low frequency in general usage, but standard in both British and American geometry, physics, and engineering texts.
Grammar
How to Use “plane angle” in a Sentence
The plane angle at vertex AThe plane angle between lines L1 and L2A plane angle of 45 degreesTo measure the plane angle subtended by...Vocabulary
Collocations
Examples
Examples of “plane angle” in a Sentence
verb
British English
- Not applicable.
American English
- Not applicable.
adverb
British English
- Not applicable.
American English
- Not applicable.
adjective
British English
- Not applicable.
American English
- Not applicable.
Usage
Meaning in Context
Business
Extremely rare, except possibly in architectural or engineering project discussions.
Academic
Standard in geometry, trigonometry, physics, and engineering textbooks and papers to specify a 2D angle.
Everyday
Virtually never used. Simply 'angle' is sufficient.
Technical
Essential for precision in mathematics, physics, mechanical drawing, and computer graphics to distinguish from solid angles.
Vocabulary
Synonyms of “plane angle”
Strong
Neutral
Weak
Vocabulary
Antonyms of “plane angle”
Watch out
Common Mistakes When Using “plane angle”
- Using 'plane angle' in everyday conversation where 'angle' would suffice, making speech sound overly technical.
- Confusing 'plane angle' with 'plain angle' (a non-existent term).
- Omitting 'plane' when necessary for clarity in technical writing, e.g., when contrasting with 'solid angle'.
FAQ
Frequently Asked Questions
In most contexts, yes. 'Plane angle' is the specific, formal term for what we commonly call an 'angle' in a flat, two-dimensional space.
Use 'plane angle' primarily in technical or academic writing when you need to be unambiguous and distinguish it from a 'solid angle', which exists in three dimensions.
A plane angle is the 2D 'wedge' between two lines in a plane (measured in degrees/radians). A solid angle is the 3D 'cone' extending from a point (measured in steradians), like the angle covering a patch of the sky.
Yes. While interior angles of polygons are typically less than 180°, a general plane angle formed by the rotation of one line around a point can range from 0° to 360°.
An angle formed by two intersecting lines in a plane, measured in degrees or radians.
Plane angle is usually technical/academic in register.
Plane angle: in British English it is pronounced /ˈpleɪn ˌæŋ.ɡəl/, and in American English it is pronounced /ˈpleɪn ˌæŋ.ɡəl/. Tap the audio buttons above to hear it.
Phrases
Idioms & Phrases
- “Not applicable for this technical term.”
Learning
Memory Aids
Mnemonic
Imagine a piece of paper (a **plane**) with two straight lines drawn on it meeting at a corner. The space between them is the **plane angle**.
Conceptual Metaphor
An angle is a measure of TURNING or ROTATION from one direction to another within a flat surface.
Practice
Quiz
In which context is the term 'plane angle' most necessary?