G.C.1.3
Apply the properties of circles and relationships among angles; arcs; and distances in a circle among radii, chords, secants, and tangents to solve problems using algebraic and logical reasoning.
Example Problems
An arc subtends a central angle of radians. What fraction of the circumference is the arc?
An arc subtends a central angle of radians. What fraction of the circumference is the arc?
An arc subtends a central angle of radians. What fraction of the circumference is the arc?
Khan Academy ResourcesChallenge problems: Inscribed anglesChallenge problems: radius & tangentArcs, ratios, and radiansChallenge problems: Arc length 1Determining tangent lines: anglesChallenge problems: Arc length 2Challenge problems: Inscribed shapesDetermining tangent lines: lengthsChallenge problems: Arc length (radians) 2Challenge problems: Arc length (radians) 1Inscribed anglesArc lengthTangents of circles problemsInscribed shapesArc measure with equationsArc measureRadians & arc lengthArc length from subtended angle: radiansInscribed shapes: find inscribed angleTangents of circles problem (example 1)Finding arc measures with equationsInscribed shapes: find diameterSolving inscribed quadrilateralsInscribed anglesInscribed shapes: angle subtended by diameterTangents of circles problem (example 3)Subtended angle from arc lengthIntro to arc measureArc length from subtended angleArc length as fraction of circumferenceFinding arc measuresTangents of circles problem (example 2)

1-on-1 AI tutoring aligned to G.C.1.3. Instant help for students, real-time insights for teachers.
Used in classrooms by 100,000+ students at Baltimore County, Plano ISD, Deer Valley USD, KIPP, and districts nationwide.
Free for teachers, forever →