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Definition--Geometry Basics--Circle Inscribed In a Triangle

Circle Inscribed In a Triangle

Circle Inscribed In a Triangle

Topic

Geometry Basics

Definition

A circle that is tangent to all three sides of a triangle.

Description

A circle inscribed in a triangle is a circle that is tangent to all three sides of the triangle. This concept is important in understanding the properties of triangles and their relationship with circles. For example, the radius of the inscribed circle can be used to calculate the area of the triangle using the formula Area = 1/2 × perimeter × radius. Understanding inscribed circles helps in solving problems related to triangle geometry and optimization.

For a complete collection of terms related to Geometry Basics click on this link: Geometry Basics 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
Grade Range 8 - 12
Curriculum Nodes Geometry
    • Circles
        • Definition of a Circle
Copyright Year 2020
Keywords trig ratios, trig identities