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Definition--Angle Concepts--Circumscribed Angle
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Geometry >> Angles and Planes >> Definition of an Angle

Definition--Angle Concepts--Circumscribed Angle

Circumscribed Angle

Circumscribed Angle

Topic

Angles

Definition

A circumscribed angle is an angle formed outside a circle by two intersecting lines, each tangent to the circle.

Description

Circumscribed angles are used in geometry to study the properties of tangents and their relationships with circles. They are important in problems involving circle theorems and are applied in fields such as architecture and design, where circular shapes are common. For students, learning about circumscribed angles enhances their understanding of circle geometry and the relationships between angles and arcs, contributing to their overall mathematical knowledge.

Circumscribed Angle
Do you see how the extent of a satellite's 
signal defines a circumscribed angle?

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

Common Core Standards CCSS.MATH.CONTENT.2.G.A.1, CCSS.MATH.CONTENT.4.MD.C.5, CCSS.MATH.CONTENT.4.G.A.1, CCSS.MATH.CONTENT.7.G.B.5
Grade Range 4 - 8
Curriculum Nodes Geometry
    • Angles and Planes
        • Definition of an Angle
Copyright Year 2021
Keywords angle, definitions, glossary term, tangent to a circle