lesson
Deriving the Sector Area Formula
Derive the formula for the area of a sector using the proportional relationship between the sector angle and the full circle.
Updated 1 month ago · 3 views
Premium Lesson
This lesson is part of a track
Public learning track
Arc Length, Radians, and Sector Area
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
- Arc Length Is Proportional to RadiusUp next
- Defining Radian MeasureNot started yet
- Converting Degrees to RadiansNot started yet
- Converting Radians to DegreesNot started yet
- Finding Arc Length Using RadiansNot started yet
- Finding Arc Length Using DegreesNot started yet
- Deriving the Sector Area FormulaYou are here
- Finding Sector Area Using RadiansNot started yet
- Finding Sector Area Using DegreesNot started yet
- Mixed Arc Length and Sector Area ProblemsNot started yet
Learning standards covered
HSG.C.B.5Common Core State Standards · Math · 10th GradeDerive 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
OGM.11.TRG.3