circular segment

USAGE SUMMARY

The phrase "circular segment" is correct and usable in written English.
It can be used in mathematical or geometric contexts to refer to a region of a circle bounded by a chord and the arc that connects the endpoints of the chord. Example: "To calculate the area of the circular segment, we need to know the radius of the circle and the angle subtended by the chord."

✓ Grammatically correct

Science

Wiki

Human-verified examples from authoritative sources

Exact Expressions

12 human-written examples

The boundary conditions on the circular segment are considered as fixed and grounded.

International Journal of Solids and Structures

Depending upon the boundary condition prescribed on the circular segment of the wedge, traction or displacement, two problems are analyzed.

International Journal of Solids and Structures

The traction traction boundary conditions are imposed on the radial edges and the traction-free condition is considered on the circular segment of the sector.

International Journal of Solids and Structures

Specific approximate formulae are derived for evaluating the average value of the zeroth-order term in the low-frequency expansion for an aperture in the shape of a polygon, a triangle, a rectangle, a rhombus, a circular sector and a circular segment.

Journal of Sound and Vibration

Specific approximate formulae are derived for evaluating the average value of the first term in the low-frequency expansion for an aperture in the shape of a polygon, a triangle, a rectangle, a rhombus, a circular sector and a circular segment.

Journal of Sound and Vibration

Its borders are determined by radii r1 and r2 and it can be expressed as (see also equations (3 5) in [21] or the circular segment entry in [31]) follows: S = d 2 arcsin x 2 d + r 2 2 arcsin x 2 r 2 - d 2 arcsin x 1 d - r 1 2 arcsin x 1 r 1 + L × x 1 - x 2, (17).

EURASIP Journal on Wireless Communications and Networking

Human-verified similar examples from authoritative sources

Similar Expressions

48 human-written examples

The coating sprayed at high substrate temperature contained a fine segmentation crack network consisting of circular segments with a diameter of 0.7 mm.

Surface and Coatings Technology

The base of the present circular segmental column is cast-in-place, while the upper parts are given by partial precast hollow circular segments.

Engineering Structures

Its main mirror will have only six circular segments surrounding a central one.

The New York Times - Science

A stepped circular plate is divided into multiple annular and one circular segments along the locations of the step variations.

Journal of Sound and Vibration

This work determines the maximal possible deformations of a corrugated sheet where the corrugation pattern consists of two circular segments.

Composite Structures

Expert writing Tips

Best practice

When describing geometric shapes or areas in technical documents, use "circular segment" to clearly indicate a region of a circle bounded by a chord and an arc. Be sure that the visual representation matches your textual description.

Common error

Avoid using "circular sector" interchangeably with "circular segment". A circular sector is a portion of a disk enclosed by two radii and an arc, while a "circular segment" is enclosed by a chord and an arc.

Linguistic Context

The phrase "circular segment" functions primarily as a noun phrase, identifying a specific geometric shape. As Ludwig AI suggests, it is used to denote a region of a circle bounded by a chord and the arc connecting its endpoints.

Expression frequency: Uncommon

Frequent in

Science

62%

Wiki

25%

News & Media

9%

Less common in

Encyclopedias

3%

Formal & Business

1%

Social Media

0%

Ludwig's WRAP-UP

The phrase "circular segment" is a grammatically correct and uncommon noun phrase used to describe a specific geometric shape: the area of a circle bounded by a chord and an arc. Ludwig AI confirms its correct usage in English. While less frequent in everyday conversation, it finds its place in technical, scientific, and mathematical contexts. It's important not to confuse it with the term "circular sector". Key sources for its usage include ScienceDirect and Wikipedia, which offer context in scientific and general knowledge domains.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

segment of a circle

This alternative is a more general term, specifying that the segment belongs to a circle.

circular section

This alternative is a broader term referring to any section with a circular shape.

segment defined by an arc and a chord

This alternative is a descriptive explanation of what constitutes a circular segment.

portion of a disk bounded by a chord

This alternative is similar but specify that the segment belongs to the disk and not only the circle

area bounded by a chord and an arc

This alternative focuses on the area enclosed by the chord and arc.

circular sector

This alternative refers to a different part of the disk/circle, being defined by the radius instead of the chord.

curvilinear segment

This alternative describes more in general a segment with at least one curved side.

arc segment

This alternative is more vague and refer to a generic segment having one side which is an arc.

lens shape

This alternative refers to the shape that is the intersection of two disks

fillet area

This alternative refers to the rounded edge or corner of an object

FAQs

How do I calculate the area of a "circular segment"?

The area of a "circular segment" can be calculated using the formula: (r^2 / 2) * (θ - sin θ), where r is the radius of the circle, and θ is the central angle (in radians) subtended by the arc.

What is the difference between a "circular segment" and a "circular sector"?

A "circular segment" is the area of a circle cut off by a chord, whereas a "circular sector" is the area of a circle enclosed by two radii and an arc.

Can I use "segment of a circle" instead of "circular segment"?

Yes, "segment of a circle" is a perfectly acceptable and often used alternative to "circular segment". They are semantically equivalent and can be used interchangeably.

In what contexts is the term "circular segment" commonly used?

The term "circular segment" is commonly used in mathematical, engineering, and architectural contexts when describing geometric shapes, calculating areas, or designing structures involving curved elements. Examples include calculating the area of a lake ("Lake Burley Griffin") or designing a segmentation crack network.