G.CI.3
Solve real-world and other mathematical problems that involve finding measures of circumference, areas of circles and sectors, and arc lengths and related angles (central, inscribed, and intersections of secants and tangents). (E)
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 ResourcesArcs, ratios, and radiansChallenge problems: Arc length 1Challenge problems: Arc length 2Cavalieri's principle in 3DCavalieri's principle in 2DChallenge problems: Arc length (radians) 2Challenge problems: Arc length (radians) 1Radians & degreesArc lengthArea of a sectorArc measure with equationsArc measureRadians & arc lengthRadians to degreesDegrees to radiansRadians & degreesIntro to radiansArc length from subtended angle: radiansFinding arc measures with equationsArea of a sectorRadians as ratio of arc length to radiusArea of a circle intuitionCavalieri's principle in 3DSubtended angle from arc lengthIntro to arc measureArc length from subtended angleArc length as fraction of circumferenceFinding arc measures

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