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Definition--Circle Concepts--Triangle Inscribed in a Circle

Triangle Inscribed in a Circle

Triangle Inscribed in a Circle Image

Topic

Circles

Definition

A triangle inscribed in a circle has its vertices on the circle.

Description

An inscribed triangle is a common geometric figure that illustrates the relationship between polygons and circles. This configuration is used in design and architecture, where symmetry and balance are essential. The circle that contains the triangle is known as the circumcircle, and its center is the circumcenter of the triangle. In math education, studying inscribed triangles helps students explore the interplay between different geometric shapes, enhancing their ability to solve complex problems involving area, perimeter, and symmetry.

Triangle Inscribed in a Circle
How does this design show a 
triangle inscribed in 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 2021
Keywords defnitions, geometry, circle