polar coordinates: meaning, definition, pronunciation and examples
C2Formal, Technical, Academic
Quick answer
What does “polar coordinates” mean?
A two-dimensional coordinate system where each point on a plane is determined by a distance from a reference point (the pole) and an angle from a reference direction.
Audio
Pronunciation
Definition
Meaning and Definition
A two-dimensional coordinate system where each point on a plane is determined by a distance from a reference point (the pole) and an angle from a reference direction.
The values (r, θ) used to define a point's position in the polar coordinate system; can also refer metaphorically to locating something relative to a central point or ideology.
Dialectal Variation
British vs American Usage
Differences
No significant lexical differences. UK education may use 'modulus and argument' more frequently as synonyms in pure mathematics contexts.
Connotations
Identical in both varieties; denotes mathematical precision.
Frequency
Equally infrequent in general discourse but standard in technical contexts in both regions.
Grammar
How to Use “polar coordinates” in a Sentence
[VERB] + in/using/with polar coordinates[VERB] + polar coordinates + to [VERB]convert + [NOUN] + to/into polar coordinatesVocabulary
Collocations
Examples
Examples of “polar coordinates” in a Sentence
verb
British English
- You need to polar-coordinate the data points for this analysis.
- The system polar coordinates the input automatically.
American English
- The software will polar-coordinate the vertices.
- We need to polar coordinate these measurements.
adverb
British English
- [Not standardly used as an adverb]
American English
- [Not standardly used as an adverb]
adjective
British English
- The polar-coordinate grid looked confusing at first.
- He prefers a polar-coordinate approach.
American English
- They used a polar-coordinate map for the antenna array.
- It's a polar-coordinate system.
Usage
Meaning in Context
Business
Virtually never used.
Academic
Used exclusively in mathematics, physics, engineering, and related STEM fields.
Everyday
Extremely rare; only in specific hobbies (e.g., advanced radio direction finding).
Technical
Standard term for describing location via distance and angle; used in calculus, dynamics, control systems, and computer graphics.
Vocabulary
Synonyms of “polar coordinates”
Strong
Neutral
Weak
Vocabulary
Antonyms of “polar coordinates”
Watch out
Common Mistakes When Using “polar coordinates”
- Using as a singular noun: *'a polar coordinate' (incorrect for the system).
- Mispronouncing 'polar' as /ˈpɒlə/ instead of /ˈpəʊlə/ or /ˈpoʊlər/.
- Confusing with 'polar vectors' or 'polar curves' which are related but distinct concepts.
FAQ
Frequently Asked Questions
No. While both use angles, latitude/longitude (spherical coordinates on a sphere) are a three-dimensional extension for a curved surface. Polar coordinates are strictly two-dimensional and flat.
Rarely directly. However, the concept is used when giving directions like 'go 50 metres north-east' (distance and angle) or in tools like a rotary dial.
From the Latin 'polus' (end of an axis), referring to the fixed central reference point, the 'pole', from which all distances and angles are measured.
It is a plural noun when referring to the pair of values (r, θ). The system itself is referred to as 'the polar coordinate system', using the singular adjective.
A two-dimensional coordinate system where each point on a plane is determined by a distance from a reference point (the pole) and an angle from a reference direction.
Polar coordinates is usually formal, technical, academic in register.
Polar coordinates: in British English it is pronounced /ˈpəʊlə kəʊˈɔːdɪnəts/, and in American English it is pronounced /ˈpoʊlər koʊˈɔːrdɪnəts/. Tap the audio buttons above to hear it.
Phrases
Idioms & Phrases
- “[No common idioms exist for this technical term]”
Learning
Memory Aids
Mnemonic
Think of a POLAR bear circling a pole: it moves a certain RADIUS out from the pole and turns through an ANGLE.
Conceptual Metaphor
LOCATION IS A JOURNEY FROM A CENTRE (A point is defined by how far you go and in which direction you face from a central starting spot).
Practice
Quiz
Which of the following is the primary antonym of 'polar coordinates'?