polar coordinate: meaning, definition, pronunciation and examples

Technical/Very Low
UK/ˈpəʊlə kəʊˈɔːdɪnət/US/ˈpoʊlɚ koʊˈɔːrdənət/

Technical/Specialist

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Quick answer

What does “polar coordinate” mean?

A pair of values (r, θ) used to locate a point on a plane, where r is the distance from a reference point (the pole) and θ is the angle from a reference direction.

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Pronunciation

Definition

Meaning and Definition

A pair of values (r, θ) used to locate a point on a plane, where r is the distance from a reference point (the pole) and θ is the angle from a reference direction.

A system of coordinates in which each point in a plane is determined by its distance from a fixed point and its angle from a fixed direction. It can be extended to three dimensions with cylindrical or spherical coordinates.

Dialectal Variation

British vs American Usage

Differences

No significant lexical differences in the term itself. Usage conventions in notation (e.g., angle units) may follow regional academic traditions.

Connotations

Purely technical and neutral in both varieties.

Frequency

Equally low frequency in everyday language for both, confined to technical and educational contexts.

Grammar

How to Use “polar coordinate” in a Sentence

The point is given in polar coordinates (r, θ).We converted the Cartesian coordinates to polar coordinates.Plot the function using polar coordinates.

Vocabulary

Collocations

strong
convert toplot inexpress incalculatesystem ofpair of
medium
use polar coordinatesdefined intransform tograph in
weak
complexsimplestandardmathematical

Examples

Examples of “polar coordinate” in a Sentence

verb

British English

  • [The verb 'coordinate' is not used with 'polar' in this technical sense.]

American English

  • [The verb 'coordinate' is not used with 'polar' in this technical sense.]

adverb

British English

  • [Not applicable. No adverbial form for this noun phrase.]

American English

  • [Not applicable. No adverbial form for this noun phrase.]

adjective

British English

  • The polar coordinate system is taught in A-Level maths.

American English

  • We need a polar coordinate grid for this graph.

Usage

Meaning in Context

Business

Not used.

Academic

Standard term in mathematics, physics, and engineering curricula and research.

Everyday

Virtually never used.

Technical

Core term in mathematics, navigation, computer graphics, and robotics for describing positions and paths.

Vocabulary

Synonyms of “polar coordinate”

Strong

(r, θ) coordinates

Neutral

polar pair

Weak

radial coordinatesangular coordinates

Vocabulary

Antonyms of “polar coordinate”

Watch out

Common Mistakes When Using “polar coordinate”

  • Saying 'polar coordination'.
  • Incorrect word order: 'coordinate polar'.
  • Mispronouncing 'coordinate' with stress on the first syllable when used as a noun (correct noun stress: co-OR-din-ate).

FAQ

Frequently Asked Questions

They simplify equations and calculations involving curves with circular or rotational symmetry, like circles and spirals.

Yes, in navigation (bearing and distance), radar screens, antenna positioning, and computer graphics for rotations.

The pole is the fixed central reference point, analogous to the origin (0,0) in the Cartesian system.

Yes, a negative radial coordinate 'r' is interpreted as plotting the point in the direction opposite to the given angle θ.

A pair of values (r, θ) used to locate a point on a plane, where r is the distance from a reference point (the pole) and θ is the angle from a reference direction.

Polar coordinate is usually technical/specialist in register.

Polar coordinate: in British English it is pronounced /ˈpəʊlə kəʊˈɔːdɪnət/, and in American English it is pronounced /ˈpoʊlɚ koʊˈɔːrdənət/. Tap the audio buttons above to hear it.

Phrases

Idioms & Phrases

  • [No common idioms for this technical term]

Learning

Memory Aids

Mnemonic

Think of a **polar** bear standing at the North **Pole**. It knows where it is by how far it is from the pole (distance r) and what direction it's facing (angle θ).

Conceptual Metaphor

LOCATION IS DISTANCE AND DIRECTION (A point is conceptualized as a journey: go this far in that direction).

Practice

Quiz

Fill in the gap
To describe a point on a circular path, it is often simpler to use coordinates.
Multiple Choice

What does the 'θ' represent in a polar coordinate (r, θ)?