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

Definition--Geometry Basics--Inscribed Angle

Inscribed Angle

Inscribed Angle

Topic

Geometry Basics

Definition

An angle formed by two chords in a circle which have a common endpoint.

Description

The inscribed angle theorem states that an inscribed angle is half the measure of the central angle that subtends the same arc. This principle is vital for solving geometric problems related to circles and angles. For example, if the central angle measures 80 degrees, the inscribed angle will measure 40 degrees. Inscribed angles have significant applications in trigonometry and are fundamental in understanding circle theorems, showing interrelations between different angles in a circle and enhancing intuitive geometric reasoning skills among students.

Inscribed Angle
Why are pizzas not sliced 
into inscribed angle size?

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