Definition--Geometry Basics--Inscribed Square
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Geometry >> Circles >> Definition of a Circle

Definition--Geometry Basics--Inscribed Square

Inscribed Square

Inscribed Square

Topic

Geometry Basics

Definition

A square whose vertices all touch a circle.

Description

Inscribed squares exemplify the relation between circles and polygons, highlighting how squares can fit perfectly within circles. This concept is key for understanding how shapes interact within each other geometrically. The side length of an inscribed square can be derived from the radius of the circumscribed circle by applying the formula s = r√2, where s is the side length and r is the radius. Recognizing inscribed shapes aids in broadening spatial awareness and reinforces connections between various geometric concepts, essential for advanced mathematics education.

Inscribed Square
A square ottoman on a circular rug.

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