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
Step-by-step decomposition
- 1.Basecircular sector of radius 6.2 cm and angle 90°30.19 cm²
- 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.