C064 · Sectors & AnnuliISO 128 · 1:1
120° Annular Sector — composite figure at 1:1 scale with dimensions, area 23.44 cm²
A = ⅓·π·(R² − r²)

High school (grades 9–10) · TypeLab 2D

120° Annular Sector

120° Annular Sector: a composite plane figure made of a circular sector of radius 5.4 cm and angle 120°, minus a circle of radius 2.6 cm. It is a classic high school (grades 9–10) geometry problem (“Sectors & Annuli”). The net area is 23.44 cm² and the total perimeter is 22.35 cm.

Certified measurements (1:1 scale)

Net area
23.44 cm²
Total perimeter
22.35 cm
Bounding box
9.35 × 4.1 cm
Basic shapes
2
Open in TypeLab 2D

Step-by-step decomposition

  1. 1.Basecircular sector of radius 5.4 cm and angle 120°30.54 cm²
  2. 2.−circle of radius 2.6 cm21.24 cm²

Area of each basic shape before the Boolean composition.

How to find the area

Area formula: A = ⅓·π·(R² − r²)

The parts overlap or intersect, so the net area (23.44 cm²) comes from the exact Boolean operation rather than from a plain sum of the part areas.

Editable in PowerPoint & Office

The .PPTX file contains native DrawingML shapes: outlines, dimensions and labels stay separate objects you can recolor and edit in PowerPoint, Keynote and Google Slides. The .SVG file is pure vector art at 1:1 scale on an A4 sheet, ready for print, LaTeX and textbook layout.

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