sector of a circle

USAGE SUMMARY

The phrase "sector of a circle" is correct and usable in written English.
It can be used in mathematical contexts to describe a portion of a circle defined by two radii and the arc between them. Example: "To calculate the area of a sector of a circle, you can use the formula A = (θ/360) * πr², where θ is the angle in degrees and r is the radius."

✓ Grammatically correct

Science

Wiki

News & Media

Human-verified examples from authoritative sources

Exact Expressions

2 human-written examples

The trunk was simplified to a trapezium and the canopy to the sector of a circle with the triangular base removed.

BMC Ecology

For example, say you need to calculate the sector of a circle.

WikiHow

Human-verified similar examples from authoritative sources

Similar Expressions

58 human-written examples

A lottery is a description of two monetary outcomes, each with a probability indicated by a sector on a circle.

Plosone

To visualize the coefficients of all 15 principal components, the multidimensional input data were displayed as sectors of a circle in a radar plot (Fig. 4).

Plosone

In every trial, they were required to choose one of two gambles depicted as "wheels of fortune", in which different probabilities of financial gain or loss are represented by the relative size of colored sectors of a circle.

Plosone

In the next step, we assign to each subtree a sector of the circle of the size of the angle appointed to it and draw the edge to the subtree in the middle of the sector.

BMC Evolutionary Biology

In this usecase, the coverage area of the BS is a sector of circle with radius  km and total number of SSs uniformly distributed across the sector. Figure 6 Sector with uniformly distributed SSs.

EURASIP Journal on Wireless Communications and Networking

This is elaborated with the help of a circle diagram.

Motor Vehicle

They have the topology of a circle.

Plosone

PI = (Circumference of a circle)/(Diameter of a Circle).

WikiHow

Is it more of a circle?

WikiHow

Expert writing Tips

Best practice

When describing probabilities using pie charts, ensure each "sector of a circle" accurately represents the corresponding percentage or proportion.

Common error

Avoid using "segment of a circle" when you actually mean "sector of a circle". A sector is defined by two radii and an arc, while a segment is defined by a chord and an arc.

Linguistic Context

The phrase "sector of a circle" functions primarily as a noun phrase, identifying a specific geometric shape. It's used to describe a portion of a circle bounded by two radii and an arc. Ludwig provides examples demonstrating its use in mathematical descriptions and real-world applications.

Expression frequency: Uncommon

Frequent in

Science

60%

Wiki

20%

News & Media

20%

Less common in

Formal & Business

0%

Encyclopedias

0%

Social Media

0%

Ludwig's WRAP-UP

The phrase "sector of a circle" is a grammatically sound noun phrase denoting a specific geometric shape, as confirmed by Ludwig. While not exceedingly common, it finds its primary use in scientific, wiki, and news contexts. It is essential to differentiate it from a "segment of a circle". The accurate calculation of its area relies on understanding the relationship between the central angle and the radius. Ludwig's examples showcase the phrase's applicability in mathematical explanations and real-world scenarios.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

circular sector

Reorders the words for slight emphasis shift, maintains the same meaning.

circle sector

Shortened version of the term, still referring to the same concept.

segment of a circle

Refers to a different part of a circle (area bounded by a chord and an arc) but is geometrically related.

slice of a circle

Uses a more descriptive and less formal term for a sector.

wedge of a circle

Uses another common descriptive term, similar to 'slice'.

circular segment

Mirrors 'segment of a circle', keeping the geometrical relationship.

portion of a circle

A broader term referring to any part of a circle.

area of a sector

Focuses on the measurement aspect rather than just the shape.

part of a disc

Relates to the solid form of the circle.

section of a disc

Similar to the above, referring to a solid form rather than a flat circle.

FAQs

How do I calculate the area of a "sector of a circle"?

The area of a "sector of a circle" can be calculated using the formula: A = (θ/360) * πr², where θ is the central angle in degrees and r is the radius of the circle.

What's the difference between a "sector of a circle" and a "segment of a circle"?

A "sector of a circle" is the region bounded by two radii and the included arc, resembling a slice of pie. A "segment of a circle" is the region bounded by a chord and the included arc.

Where can I find examples of "sector of a circle" used in real-world contexts?

You can find examples of "sector of a circle" in geometry textbooks, architectural designs, pie charts, and various scientific and engineering applications. Ludwig provides real-world examples from reliable sources, as shown above.

Is there a simpler way to describe a "sector of a circle"?

Yes, you can use terms like "slice of a circle" or "wedge of a circle" as less formal alternatives, especially in non-technical contexts.