a straight line from the center to the circumference of a circle or sphere, an area that is within a particular distance from a central point

radius of influence, radius clause, radius arm

Formal and Informal Expressions of radius

In different contexts, you can replace 'radius' with suitable alternatives. In a more formal setting, 'diameter, circumference, perimeter' is apt. In informal speech or writing, 'distance, range' is a commonplace synonym.

radius: Explore its Definition & Usage

radius Definition

1a straight line from the center to the circumference of a circle or sphere
2an area that is within a particular distance from a central point

Using radius: Examples

Take a moment to familiarize yourself with how "radius" can be used in various situations through the following examples!

Example
The radius of the circle is 5 cm.
Example
The explosion damaged buildings within a radius of several miles.
Example
The store offers free delivery within a 10-mile radius.
Example
The park has a radius of 2 kilometers.

radius Synonyms and Antonyms

Synonyms for radius

Phrases with radius

radius of influence
the area or sphere of one's influence or control
Example
As a CEO, his radius of influence extends beyond the company to the entire industry.
radius clause
a contractual agreement that restricts an artist from performing in a certain geographic area for a specified period of time before and after a concert
Example
The singer had to cancel her performance due to a radius clause in her contract with another venue.
radius arm
a suspension component in a vehicle that connects the axle to the chassis
Example
The mechanic replaced the damaged radius arm in the car's suspension system.

Origins of radius

from Latin 'radius', meaning 'spoke of a wheel'

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Summary: radius in Brief

The term 'radius' [ˈreɪdiəs] refers to a straight line from the center to the circumference of a circle or sphere, as well as an area within a particular distance from a central point. It is used in contexts such as geometry, geography, and transportation, exemplified by 'The radius of the circle is 5 cm.' and 'The store offers free delivery within a 10-mile radius.' 'Radius' also appears in phrases like 'radius of influence,' denoting the area of one's control, and 'radius clause,' referring to a contractual agreement that restricts an artist's performances in a certain geographic area.