apothem: meaning, definition, pronunciation and examples
C2 (Very rare, specialized technical term)Formal, technical (geometry, mathematics)
Quick answer
What does “apothem” mean?
A line from the centre of a regular polygon perpendicular to one of its sides.
Audio
Pronunciation
Definition
Meaning and Definition
A line from the centre of a regular polygon perpendicular to one of its sides.
In geometry, the shortest distance from the centre of a regular polygon to any of its sides; also used in computing the area of regular polygons via the formula Area = (1/2) × apothem × perimeter.
Dialectal Variation
British vs American Usage
Differences
No significant lexical or definitional differences. Pronunciation differs slightly.
Connotations
Purely technical with no cultural connotations.
Frequency
Extremely low frequency in both dialects, confined to geometry contexts.
Grammar
How to Use “apothem” in a Sentence
The apothem of [regular polygon]An apothem measuring [number] cmCalculate the area using the apothemVocabulary
Collocations
Usage
Meaning in Context
Business
Virtually never used.
Academic
Used in geometry textbooks, mathematical proofs, and architectural planning involving regular structures.
Everyday
Extremely unlikely to be encountered.
Technical
Core term in geometry, computational geometry, CAD software, and technical design.
Vocabulary
Synonyms of “apothem”
Neutral
Weak
Vocabulary
Antonyms of “apothem”
Watch out
Common Mistakes When Using “apothem”
- Using 'apothem' for irregular polygons.
- Confusing apothem with radius or altitude in triangles.
- Pronouncing it as /əˈpɒθəm/.
FAQ
Frequently Asked Questions
Yes, but only for an equilateral triangle, as it is a regular polygon. For other triangles, the term 'altitude' or 'height' is used.
No. The radius of a regular polygon goes from the centre to a vertex. The apothem goes from the centre to the midpoint of a side. The apothem is always shorter than the radius for polygons with more than 4 sides.
Primarily in geometry classes, mathematics examinations, technical design manuals, or architectural specifications involving symmetrical structures.
It is typically pronounced /ˈæp.ə.θɛm/, with a clear 'e' sound (like in 'them') in the final syllable.
A line from the centre of a regular polygon perpendicular to one of its sides.
Apothem is usually formal, technical (geometry, mathematics) in register.
Learning
Memory Aids
Mnemonic
Imagine a bee (APO-) going to THEM (the sides). It flies from the centre straight to a side—that's the apothem.
Conceptual Metaphor
THE SPOKE OF A WHEEL: The apothem is like a spoke connecting the hub (centre) to the rim (side).
Practice
Quiz
In which formula does the apothem appear?