Display Title
Definition--Geometry Basics--Circle Inscribed In a Triangle
Display Title
Definition--Geometry Basics--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 |
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Grade Range | 8 - 12 |
Curriculum Nodes |
Geometry • Circles • Definition of a Circle |
Copyright Year | 2020 |
Keywords | trig ratios, trig identities |