HS.G-C.1

Understand and apply theorems about relationships with line segments and circles including radii, diameter, secants, tangents, and chords.

Example Problems
The diameter of a circle is units.
What is the radius of the circle?
The radius of a circle is .
What is the diameter of the circle?
The radius of a circle is . What is the diameter of the circle?
Khan Academy Resources
Challenge problems: Inscribed anglesChallenge problems: radius & tangentInscribed angle theorem proofDetermining tangent lines: anglesChallenge problems: Inscribed shapesDetermining tangent lines: lengthsChallenge problems: circumscribing shapesInscribed anglesTangents of circles problemsInscribed shapesInscribed angle theorem proofProof: Right triangles inscribed in circlesCircles glossaryProof: radius is perpendicular to a chord it bisectsProof: perpendicular radius bisects chordInscribed shapes: find inscribed angleTangents of circles problem (example 1)Inscribed shapes: find diameterInscribed anglesProof: Radius is perpendicular to tangent lineInscribed shapes: angle subtended by diameterTangents of circles problem (example 3)Proof: Segments tangent to circle from outside point are congruentTangents of circles problem (example 2)
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