G.5.TM.2
Compute measurements of geometric figures such as area, surface area (including area of sectors), volume, perimeter, and circumference (including arc length) for real-world scenarios
Example Problems
Which integral gives the arc length of the curve over the interval ?
Which integral gives the arc length of the curve over the interval ?
Which integral gives the arc length of the curve over the interval ?
Khan Academy ResourcesArcs, ratios, and radiansVolume of a pyramid or coneChallenge 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 sectorApply Cavalieri's principleUse related volumesArc measure with equationsArc measureRadians & arc lengthRadians to degreesDegrees to radiansRadians & degreesIntro to radiansArc length from subtended angle: radiansFinding arc measures with equationsVolume of pyramids intuitionArea 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 measuresVolumes of cones intuition

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