English UsageGrammar guide

Plural of Radius

“Radius” has two accepted plural forms: “radii” and “radiuses.” Cambridge gives “radii” as the plural, while Merriam-Webster records “radii” and also “radiuses.” Use either only where your style or field permits it; do not invent a universal technical-versus-general rule that the dictionaries themselves do not establish.

Quick answer

Both “radii” and “radiuses” are dictionary-recorded plurals of “radius”; “radii” is the form foregrounded by Cambridge.

Key details

Confusion Familycompeting plural forms
Rule Familyradii or radiuses
Termsradius, radii, radiuses
Variant ScopePresent both recorded forms neutrally and avoid unsupported field-specific preference claims.

Choose the right form

Decision table for Plural of Radius
Meaning / situationForm / constructionDecision
one radiusradiusSingular.
more than oneradiiAccepted plural; foregrounded by Cambridge.
more than oneradiusesAlso accepted by Merriam-Webster.

Quick tests

Plural-choice test

Are you referring to more than one radius?

If yes: Use “radii” or accepted “radiuses,” subject to your style guide.

If no: Use singular “radius.”

Caveat: A specialist publication may prefer one form, but that is a style decision rather than a universal English rule established here.

Examples

Example

The two circles have different radii.

“Radii” is an accepted plural.

Example

The software compares several radiuses automatically.

“Radiuses” is also dictionary-recorded.

Example

Measure the radius of the inner circle.

One takes singular “radius.”

Further guidance

Core difference

Use “radii” or “radiuses” for more than one radius; “radii” is the more prominently listed form in the reviewed sources.

Fast Test

If a house or specialist style guide controls the document, follow it; otherwise both forms are dictionary-recorded.

Usage Boundary

Do not label “radiuses” wrong or claim a universal geometry/anatomy split without stronger specialist evidence.

Sources and evidence

Sources are shown with the role they play in this guide. Historical or style-sensitive claims are kept within the evidence boundary described above.

  1. RADIUS Definition & Meaning - Merriam-Webster (opens in a new tab)Merriam-Webster · Merriam-Webster records plural radii and also radiuses across the ordinary geometry, anatomy, and related senses.
  2. RADIUS | English meaning - Cambridge Dictionary (opens in a new tab)Cambridge University Press · Cambridge foregrounds radii as the plural of radius in geometry, distance, and anatomy treatment.

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