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Standards/Math/South Carolina/G.GCI.5

G.GCI.5

G.GCI Circles
G.GCI.1
G.GCI.2
G.GCI.3
G.GCI.4
G.GCI.5

Derive the formulas for the length of an arc and the area of a sector in a circle and apply these formulas to solve mathematical and real-world problems.

Example Problems
An arc subtends a central angle of 67​π radians. What fraction of the circumference is the arc?
An arc subtends a central angle of 47​π radians. What fraction of the circumference is the arc?
An arc subtends a central angle of 611​π radians. What fraction of the circumference is the arc?
Khan Academy Resources
Arcs, ratios, and radiansChallenge problems: Arc length 1Challenge problems: Arc length 2Challenge 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 radiusSubtended angle from arc lengthIntro to arc measureArc length from subtended angleArc length as fraction of circumferenceFinding arc measures
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