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

Definition--Circle Concepts--Inscribed Angle Theorem

Inscribed Angle Theorem

Inscribed Angle Theorem Image

Topic

Circles

Definition

The inscribed angle theorem states that an inscribed angle is half the measure of the central angle that subtends the same arc.

Description

The inscribed angle theorem is a fundamental principle in geometry, illustrating the relationship between inscribed and central angles. This theorem is used in various applications, such as in design and architecture, where angle measurements are crucial for creating precise structures and devices. In mathematics, the inscribed angle theorem is explored in the context of circle theorems, providing insights into geometric relationships. In education, understanding the inscribed angle theorem helps students develop geometric reasoning and problem-solving skills, which are essential for advanced studies in geometry and trigonometry.

Inscribed Angle Theorem
How is this medallion an example of the 
Inscribed Angle Theorem?

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 2020
Keywords defnitions, geometry, circle