central angle: meaning, definition, pronunciation and examples
C1/C2 (Low frequency in general, but high frequency in technical/mathematical contexts)Formal, Technical, Academic
Quick answer
What does “central angle” mean?
An angle whose vertex is at the centre of a circle and whose sides are radii intersecting the circumference.
Audio
Pronunciation
Definition
Meaning and Definition
An angle whose vertex is at the centre of a circle and whose sides are radii intersecting the circumference.
In geometry, a central angle is used to measure arcs; the measure of a central angle is equal to the measure of its intercepted arc. More broadly, it can refer to a key or focal angle within a system or diagram.
Dialectal Variation
British vs American Usage
Differences
No significant lexical or definitional differences. Spelling remains consistent ('centre'/'center' not relevant as part of this fixed compound).
Connotations
None beyond the technical definition.
Frequency
Equally low in general discourse, equally high in mathematical/engineering contexts in both varieties.
Grammar
How to Use “central angle” in a Sentence
The central angle [subtends/measures] [an arc/the arc].A central angle [of X degrees] is formed.To find the [arc length], you need the central angle.Vocabulary
Collocations
Examples
Examples of “central angle” in a Sentence
adjective
British English
- The central-angle measurement is crucial.
- We need the central-angle data.
American English
- The central-angle measurement is crucial.
- We need the central-angle data.
Usage
Meaning in Context
Business
Virtually never used.
Academic
Core term in geometry, trigonometry, and related STEM fields. Used in textbooks, problems, and proofs.
Everyday
Extremely rare outside an educational context.
Technical
Precise, fundamental term in mathematics, engineering, computer graphics, and surveying.
Vocabulary
Synonyms of “central angle”
Neutral
Weak
Vocabulary
Antonyms of “central angle”
Watch out
Common Mistakes When Using “central angle”
- Confusing it with an 'inscribed angle' (vertex on the circle).
- Using 'central angle' to describe any important angle in a non-circular diagram.
- Misspelling as 'center angle' (AmE influence) instead of the fixed compound 'central angle'.
FAQ
Frequently Asked Questions
In its primary, standard definition, yes. The vertex must be at the centre of a circle.
Yes. A central angle can be any measure from 0 to 360 degrees (or 0 to 2π radians). An angle over 180 degrees intercepts a major arc.
A central angle's vertex is at the circle's centre. An inscribed angle's vertex is on the circle's circumference. A central angle is double any inscribed angle subtending the same arc.
Mainly in academic, technical, or trade settings involving geometry, such as architecture, engineering, design, computer graphics, or when studying mathematics.
An angle whose vertex is at the centre of a circle and whose sides are radii intersecting the circumference.
Central angle is usually formal, technical, academic in register.
Central angle: in British English it is pronounced /ˌsentrəl ˈæŋɡ(ə)l/, and in American English it is pronounced /ˌsentrəl ˈæŋɡəl/. Tap the audio buttons above to hear it.
Learning
Memory Aids
Mnemonic
Imagine the centre of a pizza. The slice you cut from the centre out to the crust forms a CENTRAL ANGLE.
Conceptual Metaphor
A FOCAL POINT IS THE CENTRE; importance or measurement radiates from the centre.
Practice
Quiz
What is the relationship between a central angle and its intercepted arc?