a given radius

USAGE SUMMARY

The phrase "a given radius" is correct and usable in written English.
It can be used in mathematical or scientific contexts to refer to a specific radius that has been defined or specified. Example: "To calculate the area of a circle, you need to know the value of a given radius."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

55 human-written examples

From these, the densities of all cells falling within a given radius are summed.

Ecological Processes

Expelled water was wiped away with tissue, and pores larger than a given radius emptied.

Progress in Earth and Planetary Science

It is demonstrated that for cylindrical nanopores of a given radius there is an optimal surface coverage of acid groups.

Microporous and Mesoporous Materials

where Tb,r and Tb,i are the bulk temperatures at a given radius and at the inlet.

Nanoscale Research Letters

This makes loading particles and weighting them much easier as each cell at a given radius is the same size.

Earth, Planets and Space

The bending of a thick-walled cylinder to a given radius involves an elastic plastic deformation that results in a residual, axial stress distribution.

International Journal of Mechanical Sciences

Human-verified similar examples from authoritative sources

Similar Expressions

5 human-written examples

Furthermore, the effect of plate thickness is considered by investigating three plate thicknesses for a given radii of curvature.

Composite Structures

FPT is defined as the time required for an animal to cross a circle of given radius [15].

Plosone

Moving mesh methods (Springel 2010) can require the construction of a Voronoi mesh which, in turn, requires algorithms to quickly find all particles within a sphere of given radius.

Computational Astrophysics and Cosmology

We examine the optimal design of a thin-walled cylinder with a compliant core, of given radius and specified materials, for a prescribed load bearing capacity in axial compression.

International Journal of Solids and Structures

To calculate the first passage times along a path, a circle of smallest given radius was moved along the path at equidistant points by creating intermittent steps along the tracked path, with this procedure repeated for circles of increasing radius.

Plosone

Expert writing Tips

Best practice

When using "a given radius" in technical writing, ensure the context clearly defines how the radius is determined or measured to avoid ambiguity.

Common error

Don't use "a given radius" without specifying the origin or point from which the radius is measured. Lack of clarity can lead to misinterpretation and errors in calculations or analysis.

Linguistic Context

The phrase "a given radius" typically functions as an adjective phrase modifying a noun, such as "circle", "sphere", or "area". It specifies that the radius under consideration is predetermined or defined within the context of the discussion, as supported by Ludwig's examples.

Expression frequency: Very common

Frequent in

Science

93%

News & Media

4%

Wiki

3%

Less common in

Formal & Business

0%

Encyclopedias

0%

Reference

0%

Ludwig's WRAP-UP

In summary, the phrase "a given radius" is a grammatically sound and frequently used term, particularly within scientific and technical domains. As Ludwig AI confirms, it serves to define or specify a radius in a precise manner. When employing this phrase, ensure that the context clearly indicates how the radius is determined. Alternatives such as "a specified radius" or "a defined radius" can be used interchangeably to express a similar meaning, depending on the nuance required.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

a specified radius

Replaces "given" with "specified", emphasizing that the radius has been explicitly defined.

a defined radius

Replaces "given" with "defined", highlighting that the radius has been established with clarity.

a particular radius

Uses "particular" instead of "given", focusing on a specific radius among others.

a certain radius

Substitutes "given" with "certain", indicating a radius that is fixed or predetermined.

a predetermined radius

Emphasizes that the radius was decided in advance.

a pre-set radius

Highlights that the radius was configured beforehand.

a designated radius

Implies that the radius has been officially assigned or selected.

a radius of x units

Replaces "given" with an explicit value or variable, quantifying the radius.

a fixed radius

Indicates that the radius is unchanging and constant.

a set radius

Denotes that the radius has been established and is not variable.

FAQs

How do I use "a given radius" in a sentence?

You can use "a given radius" to refer to a specific distance from a central point. For example, "All points within "a given radius" of the center are considered part of the cluster."

What's an alternative to saying "a given radius"?

Alternatives include "a specified radius", "a defined radius", or "a particular radius", depending on the specific context.

Is it always necessary to specify the value of "a given radius"?

While not always necessary to specify the exact numerical value, the context should provide enough information for the reader to understand how the radius is determined or relevant to the discussion.

In what fields is the phrase "a given radius" commonly used?

The phrase "a given radius" is frequently used in mathematics, physics, engineering, computer science, and other technical fields when discussing circles, spheres, or distances from a central point.