radius

B2
UK/ˈreɪ.di.əs/US/ˈreɪ.di.əs/

Neutral to formal, primarily technical/scientific.

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Definition

Meaning

A straight line from the center to the circumference of a circle or sphere; a measure of distance from a central point.

The length of such a line; a specified distance or area from a central point; the thicker of the two long bones in the human forearm; a radial or radiating part.

Linguistics

Semantic Notes

Primarily a technical term in geometry and anatomy; its 'distance from a point' meaning is common in everyday contexts (e.g., 'within a 5-mile radius'). It has an irregular plural: radii (standard) or radiuses (less common, often for non-technical senses).

Dialectal Variation

British vs American Usage

Differences

No significant differences in meaning. British English may slightly favor 'radii' for all plurals; American English may accept 'radiuses' more readily in non-scientific contexts.

Connotations

Identical. Conveys precision, measurement, and centrality.

Frequency

Equally common in both varieties in technical contexts. Slightly less common in everyday UK speech compared to US, where 'radius' is frequently used in news, real estate, and business (e.g., 'delivery radius').

Vocabulary

Collocations

strong
within a ... radiusradius of ...atomic radiusbone radiusblast radius
medium
delivery radiussearch radiuseffective radiuscurvature radiusspecified radius
weak
wide radiussmall radiuslimited radiusinner radiusouter radius

Grammar

Valency Patterns

within a [measurement] radius of [place]a radius of [measurement] from [point]the [adjective] radius

Vocabulary

Synonyms

Strong

semidiameter (geometry)spoke (of a wheel)ulna (paired bone in forearm)

Neutral

distancerangereachextent

Weak

areazonevicinityscope

Vocabulary

Antonyms

diameter (twice the radius)centre/core (opposite point)ulna (specific antonym in anatomy)

Phrases

Idioms & Phrases

  • Within striking radius (close enough to attack)
  • Outside the radius of (beyond the scope/influence of)

Usage

Context Usage

Business

Used to define service areas, e.g., 'Our delivery radius is 10 miles from the store.'

Academic

Central to geometry, physics, astronomy, and anatomy. Precise measurement.

Everyday

Describing how far something is from a location, e.g., 'We looked for cafes within a short radius of the hotel.'

Technical

Exact measurement in engineering, mathematics (e.g., 'the radius of curvature'), medicine (forearm bone).

Examples

By Part of Speech

verb

British English

  • (Rare as verb) The path will radius around the old oak tree.

American English

  • (Rare as verb) The new highway will radius the northern edge of the city.

adverb

British English

  • (Not standard)

American English

  • (Not standard)

adjective

British English

  • The radius bone was fractured.
  • They measured the radius dimension.

American English

  • He has a radius fracture.
  • Check the radius measurement on the blueprint.

Examples

By CEFR Level

A2
  • Draw a circle with a radius of 3 centimetres.
  • The school is within a one-mile radius.
B1
  • The explosion damaged buildings within a half-kilometre radius.
  • The radius of the Earth is about 6,371 kilometres.
B2
  • The search party covered a 10-mile radius from the last known position.
  • The curvature radius of the lens must be calculated precisely.
C1
  • The policy's impact had a surprisingly wide social radius, affecting communities far beyond the target area.
  • A comparative analysis of the ionic radii revealed patterns in the periodic table.

Learning

Memory Aids

Mnemonic

Imagine a RADIO with its signal spreading out in a circle. The RADIUS is how far that signal reaches from the central radio tower.

Conceptual Metaphor

INFLUENCE/IMPACT IS A CIRCLE (e.g., 'the blast radius of the scandal'). CONTROL/REACH IS A CIRCULAR AREA (e.g., 'within the radius of her authority').

Watch out

Common Pitfalls

Translation Traps (for Russian speakers)

  • Не переводить как 'радиус' в анатомическом контексте без уточнения. В анатомии 'radius' — это 'лучевая кость'.
  • Внимание на множественное число: 'radii' (радиусы) /'reɪ.di.aɪ/.

Common Mistakes

  • Using 'diameter' when 'radius' is meant (and vice versa).
  • Incorrect plural: 'radius' -> 'radiuses' is acceptable but 'radii' is preferred, especially in writing.
  • Misspelling as 'radious'.

Practice

Quiz

Fill in the gap
The emergency services established a cordon within a 500-metre of the incident.
Multiple Choice

In human anatomy, the 'radius' is:

FAQ

Frequently Asked Questions

The standard plural is 'radii' (/ˈreɪ.di.aɪ/). The form 'radiuses' is also acceptable, especially in non-technical contexts when referring to distances (e.g., 'several search radiuses').

The radius is the distance from the centre of a circle to its edge. The diameter is the distance across the circle through the centre, which is exactly twice the length of the radius.

It is very rare and highly technical (e.g., in machining or describing a curved path). In 99% of cases, 'radius' is used only as a noun.

It is neutral but precise. It is formal in geometry and science. In everyday use (e.g., 'within walking radius'), it is standard and not overly formal.