lesson
Area of Composite Figures: Sectors of Circles
Derive and calculate the area of sectors as fractional portions of total circle area: Area = (theta / 360°) * pi*r^2.
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This lesson is part of a track
Public learning track
Area of Circles, Sectors, and Composite 2D Shapes
7 lessons
Goal
Derive circle area, calculate sector and segment areas, and solve perimeter and area for composite plane figures.
7 lessons
0 of 7 done
- Deriving the Formula for the Area of a CircleUp next
- Calculating Areas of Circles and AnnuliNot started yet
- Area of Composite Figures: Sectors of CirclesYou are here
- Calculating Areas of Circular SegmentsNot started yet
- Area and Perimeter of Composite Figures with Circles and SectorsNot started yet
- Calculating Areas of Polygons with Subtracted RegionsNot started yet
- Solving Real-World Composite Area and Perimeter ProblemsNot started yet
Learning standards covered
OGM.8.GEO.4Open Global Math Standards 2026™ · 7th GradeUnderstand circles, define pi (pi = C/d), derive formulas for circumference and area of circles and sectors/arcs, solve related composite area problems, and explore fundamental circle properties (chords, tangents, central/inscribed angles).
OGM.8.GEO.9Open Global Math Standards 2026™ · 7th GradeCalculate perimeter and area of composite two-dimensional figures composed of triangles, quadrilaterals, regular polygons, semicircles, and quarter circles.