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

Definition--Circle Concepts--Circumscribed Angle

Circumscribed Angle

Circumscribed Angle Image

Topic

Circles

Definition

A circumscribed angle is an angle formed outside a circle by two intersecting tangents.

Description

Circumscribed angles are significant in geometry, representing angles formed by tangents that intersect outside a circle. These angles are used in various applications, such as in optics and design, where angle measurements are crucial for creating precise structures and devices. In mathematics, circumscribed angles are explored in the context of circle theorems, providing insights into the properties of tangents and angles. In education, understanding circumscribed angles helps students develop geometric reasoning and problem-solving skills, which are essential for advanced studies in geometry and trigonometry.

Circumscribed Angle
For someone in a hot air balloon, the lines of sight 
to the horizon form a circumscribed 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 2020
Keywords defnitions, geometry, circle, tangent to a circle