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Definition--Circle Concepts--Sector

Sector

Sector Image

Topic

Circles

Definition

A sector is a portion of a circle enclosed by two radii and the arc between them.

Description

Sectors are fundamental in the study of circles, representing a portion of the circle's area. These shapes are used in various applications, such as in design and architecture, where precise measurements of angles and areas are essential. The area of a sector is calculated using the formula 

A = 1/2r2θ

where θ is the central angle in radians. In mathematics, sectors are explored in the context of circle properties and relationships, providing insights into geometric relationships. In education, understanding sectors helps students develop geometric reasoning and problem-solving skills, which are essential for advanced studies in geometry and trigonometry.

Sector
How are pizza slices like sectors of a circle?

For a complete collection of terms related to Circles click on this link: Circles Collection.

Common Core Standards CCSS.MATH.CONTENT.HSG.C.A.2, CCSS.MATH.CONTENT.HSG.C.A.1, CCSS.MATH.CONTENT.HSG.C.A.3, CCSS.MATH.CONTENT.HSG.C.A.4, CCSS.MATH.CONTENT.4.MD.C.5.A, CCSS.MATH.CONTENT.7.G.B.4
Grade Range 4 - 8
Curriculum Nodes Geometry
    • Circles
        • Definition of a Circle
Copyright Year 2014
Keywords defnitions, geometry, circle