NC.M3.G-C.5
Using similarity, demonstrate that the length of an arc, s, for a given central angle is proportional to the radius, r, of the circle. Define radian measure of the central angle as the ratio of the length of the arc to the radius of the circle, s/r. Find arc lengths and areas of sectors of circles.
Example Problems
Convert the angle to radians.
Express your answer exactly.
Express your answer exactly.
Convert the angle to radians.
Express your answer exactly.
Express your answer exactly.
Convert the angle to radians.
Express your answer exactly.
Express your answer exactly.
Khan Academy ResourcesArcs, 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 measureSimilarity & transformationsRadians & 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 circumferenceProof: all circles are similarFinding arc measures

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