Definition--Circle Concepts--Inscribed Angle
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Geometry >> Circles >> Definition of a Circle

Definition--Circle Concepts--Inscribed Angle

Inscribed Angle

Inscribed Angle Image

Topic

Circles

Definition

An inscribed angle is an angle formed by two chords in a circle that share an endpoint.

Description

Inscribed angles are fundamental in the study of circles, illustrating the relationship between angles and arcs. The measure of an inscribed angle is half the measure of the intercepted arc, a property used in various applications, such as navigation and design. In mathematics, inscribed angles are explored in the context of circle theorems, providing insights into geometric relationships. In education, understanding inscribed angles helps students develop geometric reasoning and problem-solving skills, which are essential for advanced studies in geometry and trigonometry.

Inscribed Angle
How does this medallion demonstrate an inscribed angle?

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 2021
Keywords defnitions, geometry, circle