C063 · Sectors & AnnuliISO 128 · 1:1
90° Annular Quadrant — composite figure at 1:1 scale with dimensions, area 23.11 cm²
A = ¼·π·(R² − r²)

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

90° Annular Quadrant

90° Annular Quadrant: a composite plane figure made of a circular sector of radius 6.2 cm and angle 90°, minus a circle of radius 3 cm. It is a classic high school (grades 9–10) geometry problem (“Sectors & Annuli”). The net area is 23.11 cm² and the total perimeter is 20.85 cm.

Certified measurements (1:1 scale)

Net area
23.11 cm²
Total perimeter
20.85 cm
Bounding box
6.2 × 6.2 cm
Basic shapes
2
Open in TypeLab 2D

Step-by-step decomposition

  1. 1.Basecircular sector of radius 6.2 cm and angle 90°30.19 cm²
  2. 2.−circle of radius 3 cm28.27 cm²

Area of each basic shape before the Boolean composition.

How to find the area

Area formula: A = ¼·π·(R² − r²)

The parts overlap or intersect, so the net area (23.11 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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