segment of a radius

USAGE SUMMARY

The phrase "segment of a radius" is correct and usable in written English.
It can be used in mathematical or geometric contexts to describe a portion of a radius that connects the center of a circle to its circumference. Example: "In the diagram, the segment of a radius is highlighted to show the distance from the center to the edge of the circle."

✓ Grammatically correct

Science

News & Media

Wiki

Human-verified similar examples from authoritative sources

Similar Expressions

59 human-written examples

The middle shaded circle segment has a radius of 46 Å equal to the theoretical Gibbs Thomson cylindrical curvature of TIP4P water at 5 K supercooling.

eLife

In the second case the inner sphere radius is 6 cm and the outer spherical segment has a radius of 120 cm.

Journal of Electron Spectroscopy and Related Phenomena

By including the bony segment of the radius, an osteocutaneous flap can be raised, which might be proposed for mandible reconstruction [4, 10].

Maxillofacial Plastic and Reconstructive Surgery

A stochastic pore network is a square network of pores, each pore segment having a radius assigned at random from any stipulated pore size distribution.

Chemical Engineering Science

Using the theory of the segment of a circle and its radius, the overlapped area S can be derived as follows: S= frac{1}{2} left { a^{2} (eta - sin eta)) +b^{2} (phi - sin phi))right }. (32) Fig. 14 Example of cooperative region.

EURASIP Journal on Wireless Communications and Networking

Under the sine condition, the principal surface of the objective corresponds to a sphere segment of radius n i f (Fig. 8 ) [ 35].

Biomedical Optics Express

Since the segments of the radius of the wheel are marked according to the fitness of the various strings of the original population, the roulette wheel process is expected to select Fi/F copies of the ith string for the mating pool, where F indicates the average fitness of the population.

International Journal of Energy and Environmental Engineering

However, a large segment with a decreasing radius might be indicative of a decreasing particle diameter during crystal growth.

Nanoscale Research Letters

The nanostructures in sample 3 exhibited a relatively large segment with a decreasing radius in the stem compared with that of sample 1.

Nanoscale Research Letters

Endothelial cells are represented as a series of segments that occupy a cylindrical volume specified by a radius and length.

BMC Systems Biology

The bone scaffolds made by the single-nozzle deposition process in the MDM system have good biocompatibility and bone conductive property as a molecular scaffold for bone morphogenic protein (BMP) in the implantation experiment of repairing segment defect of rabbit radius.

Materials Letters

Expert writing Tips

Best practice

When describing geometric shapes or measurements, ensure clarity by specifying the endpoints or dimensions of the "segment of a radius".

Common error

Avoid using "segment of a radius" when you actually mean an arc segment (a portion of the circumference). A "segment of a radius" is a straight line, while an arc segment is curved.

Linguistic Context

The phrase "segment of a radius" functions as a noun phrase, often used as an adjectival modifier. It describes a specific portion of a radius, frequently within geometric or mathematical contexts. Ludwig provides examples where it is used in scientific and technical writings.

Expression frequency: Common

Frequent in

Science

60%

Academia

15%

Wiki

10%

Less common in

News & Media

8%

Encyclopedias

5%

Formal & Business

2%

Ludwig's WRAP-UP

In summary, "segment of a radius" is a grammatically correct and commonly used phrase, particularly in scientific and mathematical domains. As Ludwig AI indicates, this phrase is usable in written English within geometric contexts to describe a portion of a radius connecting the center of a circle to its circumference. Be mindful of contexts and consider related alternatives like "radial segment" or "portion of a radius" to enhance clarity and precision in your writing. Avoid confusing this term with related concepts like "arc segment".

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

portion of a radius

Replaces "segment" with "portion", maintaining the same prepositional structure.

section of a radius

Substitutes "segment" with "section", keeping the original grammatical structure.

part of a radius

Uses "part" instead of "segment", offering a more general term.

radial segment

Replaces the prepositional phrase "of a radius" with a single adjective.

radius section

Inverts the order and removes the preposition for a more concise form.

radial portion

Combines the adjective "radial" with the noun "portion" for a streamlined expression.

fragment of a radius

Replaces "segment" with "fragment", suggesting a smaller or broken-off piece.

length along a radius

Rephrases to focus on the measurement along the radius.

radial distance

Focuses on the distance from the center along a radius, rather than a physical segment.

piece of the radius

More informal substitution of segment

FAQs

How to use "segment of a radius" in a sentence?

The phrase "segment of a radius" refers to a section of a line extending from the center of a circle to its circumference. For example: "The length of the "segment of a radius" was crucial in calculating the area of the sector."

What can I say instead of "segment of a radius"?

You can use alternatives like "radial segment", "portion of a radius", or "section of a radius depending on the context.

Which is correct, "segment of a radius" or "radius segment"?

Both "segment of a radius" and "radius segment" are acceptable, but "segment of a radius" is more common and grammatically explicit.

What's the difference between "segment of a radius" and "arc segment"?

A "segment of a radius" is a straight line from the center of a circle to its edge, while an "arc segment" is a curved portion of the circle's circumference.