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Arc Length, Radians, and Sector Area

10th Grade · Math · CCSS

10 lessons

Goal

Derive and apply formulas for arc length and sector area, and understand radian measure as the constant of proportionality between arc length and radius.

10 lessons
0 of 10 done
  1. Arc Length Is Proportional to RadiusUp next
  2. Defining Radian MeasureNot started yet
  3. Converting Degrees to RadiansNot started yet
  4. Converting Radians to DegreesNot started yet
  5. Finding Arc Length Using RadiansNot started yet
  6. Finding Arc Length Using DegreesYou are here
  7. Deriving the Sector Area FormulaNot started yet
  8. Finding Sector Area Using RadiansNot started yet
  9. Finding Sector Area Using DegreesNot started yet
  10. Mixed Arc Length and Sector Area ProblemsNot started yet
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Learning standards covered

usHSG.C.B.5Common Core State Standards · Math · 10th Grade

Derive using similarity the fact that the length of the arc intercepted by an angle is proportional to the radius, and define the radian measure of the angle as the constant of proportionality; derive the formula for the area of a sector.

Open Global Standard:OGM.11.TRG.3
GlobalOGM.11.TRG.3